Question

Write the nature of the roots of a quadratic equation whose discriminant is equal to zero​

Answer 1

roots are real and equal

Explanation:

the determinant of a quadratic equation , allows the nature of the roots to be determined without solving the equation.

given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 ) , then

the determinant is defined as b² - 4ac

• if b² - 4ac > 0 , then the roots are real and irrational

• if b² - 4ac > 0 and a perfect square , then roots are real and rational

• if b² - 4ac = 0 , then roots are real and equal

• if b² - 4ac < 0 , then the roots are not real

Thus if the discriminant is equal to zero , then the roots are real and equal