Question

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

(A) 0 

(B) 25/4 

(C) 4/25 

(D) 7

Answer 1

Correct option is (D) 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 x k x 1< 0

25 – 4k < 0

4k < 25

k < 25/4

k < 6.25

The value of k is 7.