Question

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

विकल्प

• 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 7.

Explanation:

Given equation, kx² − 5x + 1 = 0

Here, a = k, b = −5, c = 1

Since roots are not real,

So, b² – 4ac < 0

(-5)² – 4 × k × 1< 0

25 – 4k < 0

4k < 25

k < `25/4`

k < 6.25

The value of k is 7.