Question

If the roots of equation ax² + bx + c = 0, a ≠ 0 are real and equal, then which of the following relation is true?

पर्याय

• `a = b^2/c`

• b² = ac

• `ac = b^2/4`

• `c = b^2/a`

Answer 1

`ac = b^2/4`

Explanation:

If the discriminant is equal to zero, i.e., b² − 4ac = 0 where a, b, c are real numbers and a ≠ 0, then roots of the quadratic equation ax² + bx + c = 0, are real and equal

Thus, b² - 4ac = 0 or `ac = b^2/4`