What Is the Discriminant of 3x 2 10x 2?

In mathematics, the discriminant of a polynomial is a quantity that can be used to determine the number of solutions to a polynomial equation. The discriminant of a quadratic equation is the square root of the discriminant of the corresponding cubic equation. For example, the discriminant of the equation x^2+bx+c=0 is b^2-4c.

The discriminant of 3x^2+10x+2 is 3^2+10^2-4(3)(2)=21. Therefore, the equation 3x^2+10x+2=0 has two solutions.

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The discriminant of 3x^2-10x+2 is 1. This is because the equation has two real roots, which are -1 and 2. The discriminant tells us how many roots the equation has, and in this case, it has two real roots.

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Assuming you are asking how to find the discriminant of a quadratic equation in standard form, the discriminant is found by taking the coefficient of the x squared term, four times that coefficient, subtracting the coefficient of the x term squared, and then subtracting the constant term from that. This can be expressed in the following equation:

D = b^2 - 4ac

The discriminant can give information on the number and type of roots the equation has. If the discriminant is positive, the equation has two distinct roots. If the discriminant is zero, the equation has two equal roots. If the discriminant is negative, the equation has two complex roots.

The discriminant of a quadratic equation is a quantity that can be used to determine the nature of its roots. If the discriminant is positive, the equation has two real roots. If the discriminant is zero, the equation has two equal real roots. If the discriminant is negative, the equation has two complex roots.

The discriminant is calculated by taking the square of the coefficient of the middle term and subtracting it from the product of the square of the coefficient of the highest term and the constant term.

Discriminant = b^2 - 4ac

The sign of the discriminant tells you how many roots the equation has and their nature. If the discriminant is positive, there are two real roots. If the discriminant is negative, there are two complex roots. If the discriminant is zero, there is one real root.

The discriminant of 3x^2-10x+3 is the number -1. This is because the equation has two complex roots, which are -1+2i and -1-2i. The discriminant is the product of the roots, so it is -1 times -1, which is 1.

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