If the discriminant is zero in a quadratic formula, determine the number of real solutions for that quadratic formula. .

The discriminant gives the type of solutions that will be found for a

quadratic equation.

The number of real solutions for the quadratic formula is one.

Reasons:

If the discriminant in the quadratic formula, y = a·x² + b·x + c, is the value;

Where;

a, b, and c are real numbers, we have

A zero discriminant gives;

Therefore;

is one real number

Therefore;

The number of real solutions for the quadratic formula is one.

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Keywords

discriminant, quadratic equation, real solution

we know that

The formula to calculate the solutions of the quadratic equation of the form is equal to

where

The discriminant of the quadratic equation  is equal to

in this problem we have  that

so

substitute in the formula

 -------> is one real solution

therefore

The answer is

one real solution

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step-by-step explanation:

linear pair postulates