Question

If the roots of the quadratic polynomial are equal, where the discriminant D =b²-4ac, then
a) D > 0 b) D< 0 c) D > 0 d) D = 0​

Answer 1

Answer: d) $D = 0$

Given: The roots of the quadratic polynomial are equal, where the discriminant is $D=b^{2} -4ac$.

To Find: The condition for the values of D.

Explanation:

The quadratic formula yields the discriminant of the quadratic equation. D represents the discriminant. A polynomial's discriminant is a function composed of the polynomial's coefficients. The discriminant formulas provide an overview of the nature of roots.

Because the degree of a quadratic equation is 2, we know that it can only have two roots.

Here, it is given that the roots of the quadratic polynomial are equal and $D=b^{2} -4ac$.

If $D = 0$, then the quadratic formula becomes $x = [-b] / [2a]$.

In this case, we can say that the quadratic equation has only one real root.

Therefore, $D=0$ if the quadratic polynomial has equal roots.

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