Question

The value of k for which the quadratic equation kx² − 5x + 1 = 0 does not have a real solution, is ______.

पर्याय

• 0

• `25/4`

• `4/25`

• 7

Answer 1

The value of k for which the quadratic equation kx² − 5x + 1 = 0 does not have a real solution, is `\underline(4/25)`.

Explanation:

Given equation, kx² − 5x + 1 = 0

Here, a = k, b = −5, c = 1

ax² + bx + c = 0

D = b² − 4ac

D < 0

kx² − 5x + 1 = 0 ⇒ a = k, b = −5, c = 1

D = (−5)² − 4(k) (1) = 25 − 4k

25 − 4k < 0

25 < 4k ⇒ k > `25/4`

k > `25/4`