What Are the Solutions of the Quadratic Equation 49x2 9?

A quadratic equation is an equation in which the highest power of the unknown quantity is two. In other words, it is an equation of the form:

ax^2 + bx + c = 0

where a, b, and c are constants. The solutions of a quadratic equation are the values of x that make the equation true.

In the equation 49x^2 + 9 = 0, the coefficient of x^2 is 49 and the constant term is 9. To solve this equation, we can use the Quadratic Formula:

x = (-b +/- sqrt(b^2-4ac))/(2a)

Plugging in the values for a, b, and c, we get:

x = (-9 +/- sqrt(9^2-4(49)(9)))/(2(49))

x = (-9 +/- sqrt(81-1681))/98

x = (-9 +/- sqrt(-1599))/98

Since we are dealing with imaginary numbers, we will not be able to find an exact solution for this equation. However, we can approximate the solutions using a calculator. Plugging in -9 +/- sqrt(-1599) into a calculator, we get:

x = -0.036 +/- 1.998i

This means that the solutions to the equation 49x^2 + 9 = 0 are approximately -0.036 + 1.998i and -0.036 - 1.998i.

A fresh viewpoint: Quadratic Equation 4x2 64

x 4 is a mathematical notation that is used to represent the four times table. The four times table is a mathematical table that shows the product of two numbers that are multiplied together. The four times table is a fundamental part of mathematics and is used in many different situations.

Learning the four times table is an important maths skill for students to learn. The four times table can be used in many different ways and is a fundamental part of mathematics. Students need to be able to recall the four times table off by heart so that they can use it in a range of different situations.

There are a number of different ways that students can learn the four times table. Some students prefer to learn the four times table by rote memory, while others prefer to use visual aids such as multiplication charts. There are also a number of different games and activities that can be used to help students learn the four times table.

Whatever method is used to help students learn the four times table, it is important that they are given plenty of opportunities to practice using the table. This will help to ensure that they gain a good understanding of the four times table and can use it confidently in a range of different situations.

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A quadratic equation is an equation of the form ax^2 + bx + c = 0, where a, b, and c are real numbers and x is an unknown. The solutions to a quadratic equation are the values of x that make the equation true.

There are several ways to solve a quadratic equation. One method is to factor the equation. This means to find two factors of the equation that, when multiplied together, equal the equation. For example, if the equation is x^2 + 5x + 6 = 0, then the two factors would be (x + 3)(x + 2). Once the equation is factored, the solutions can be found by setting each factor equal to zero and solving for x. In the example above, the solutions would be x = -3 and x = -2.

Another method of solving a quadratic equation is to use the quadratic formula. This formula is:

x = -b +/- sqrt(b^2 - 4ac) --------------------------------------- 2a

where a, b, and c are the coefficients of the equation. The plus-or-minus sign in the formula indicates that there are two solutions to the equation, one with the plus sign and one with the minus sign. For example, if the equation is 2x^2 + 5x - 3 = 0, then the solutions would be x = (-5 +/- sqrt(25 - 4(2)(-3))) / (2(2)) or x = (-5 +/- sqrt(25 + 12)) / 4. The solutions would be x = 3/2 or x = -5/4.

There are other methods of solving a quadratic equation, but these are the two most common.

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A solution of a quadratic equation is a value or values of the variable for which the equation is true. For example, the solutions of the equation x^2 + 4x + 3 = 0 are x = -3 and x = -1, because (-3)^2 + 4(-3) + 3 = 0 and (-1)^2 + 4(-1) + 3 = 0.

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In mathematics, a quadratic equation is any equation that can be rearranged in standard form as ax^2+bx+c=0, where x represents an unknown, and a, b, and c represent known numbers, where a≠0. A quadratic equation with real or complex coefficients has two solutions, called roots. These two solutions may or may not be distinct, and they may or may not be real. It may be possible to express a quadratic equation ax^2+bx+c=0 as a product (factorization) of two linear equations, as follows:

(x+p)(x+q)=0

where p and q are unknowns. This factorization is possible if and only if the discriminant b^2-4ac is a perfect square. Quadratic equations appear in many settings, such as in physics when studying the trajectory of a projectile, or in business when calculating the maximum profit for a company.

The most general form of a quadratic equation is ax^2+bx+c=0 where a,b, and c are real numbers and a≠0. This equation has two solutions given by the Quadratic Formula:

x=−b±√b^2−4ac2a

For any given values of a, b and c there are two values of x that solve the equation. These values are called the roots of the equation. If a=1, b=4 and c=3 then the two roots are x=−1 and x=−3. In general, if a≠0 then the equation has two distinct real roots if and only if the discriminant, b^2−4ac, is positive. If the discriminant is zero then the equation has two equal real roots. If the discriminant is negative then the equation has no real roots.

The Quadratic Formula can be used to solve any quadratic equation. For example, solve the equation x^2+5x+6=0.

First, calculate the discriminant: b^2−4ac=5^2−4(1)(6)=25−24=1.

Since the discriminant is positive, the equation has two distinct real roots. Use the Quadratic Formula to find the roots:

x=−b±

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The quadratic equation is an equation of the form ax2 + bx + c = 0, where a, b, and c are real numbers, and x is an unknown. The quadratic equation has two solutions, which are given by the Quadratic Formula: x = -b ± √b2 - 4ac / 2a. The quadratic equation 49x2 + 9x + 4 has two solutions: x = -9 ± √9^2 - 4(49)(4) / 2(49) = -9 ± √1089 / 98 = -9 ± 11.29 / 98 = -9 ± 0.11558 = -9.11558 ± 0.11558 = -9.23116 or -8.88442.

The solutions of the quadratic equation 49x2 9x 4 are x=2 and x=-1. To solve a quadratic equation, we need to find the values of x that make the equation true. In this equation, we can see that there are two values of x that make the equation true, which are x=2 and x=-1.

To find the solutions of the equation, we first need to find the value of x that makes the equation true when we plug it in. We can do this by using the quadratic formula. The quadratic formula is x=-b +/- sqrt(b^2-4ac)/2a. In our equation, we can plug in the values for a, b, and c to get x=-9 +/- sqrt(9^2-4(49)(4))/2(49). This simplifies to x=-9 +/- sqrt(81-784)/98. This simplifies to x=-9 +/- sqrt(-703)/98. This simplifies to x=-9 +/- sqrt(703)/98. This gives us the two solutions of x=2 and x=-1.

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The value of x when the equation 49x2 9x 4 is equal to 0 can be determined by using the quadratic equation. This equation can be used to find the roots, or solutions, of a quadratic equation. In this case, the roots of the equation are -4 and 1/7.

The value of x can be found by plugging in either of these roots into the original equation. If -4 is plugged into the equation, the value of x will be -4. If 1/7 is plugged into the equation, the value of x will be 1/7. Therefore, the value of x when the equation 49x2 9x 4 is equal to 0 is -4 or 1/7.

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There are a few different ways to think about the roots of the quadratic equation 49x2 9x 4. One way to think about it is to consider the factors of the equation. The factors of 49x2 9x 4 are 7x2 + 1 and 7x2 - 1. These factors correspond to the roots of the equation. Another way to think about the roots of the equation is to consider the sign of the discriminant. The discriminant is the quantity that appears under the square root symbol in the quadratic equation. The discriminant tells you how many and what kind of roots the equation has. A positive discriminant indicates that the equation has two real roots. A negative discriminant indicates that the equation has two complex roots. In this case, the discriminant is 9-4, which is 5. This means that the equation has two real roots.

The discriminant of a quadratic equation is the number that is obtained when the leading coefficients are squared and subtract the product of the leading coefficient and the constant term. In this case, the discriminant would be: 49 - (9)(4) = 25. The discriminant is used to determine the number and type of roots that a quadratic equation has. If the discriminant is positive, then the equation has two real roots; if the discriminant is negative, then the equation has two complex roots; and if the discriminant is zero, then the equation has one real root.