Question

The quadratic equation kx square - 4x +36k has two equal roots. Find the value of k. ​

Answer 1

Answer:

Step-by-step explanation:

In this equation, a= k (coefficient of x^2), b = -4 (coefficient of x) and c = 36k ( constant term).

Since the equation has two equal roots.

Therefore b^2-4ac = 0

=> (-4)^2 - (4*k*36k)= 0

=> 16- ( 144k^2) = 0

=> 16 - 144k^2 = 0

=> 144k^2 = 16

=> 12k = 4. { Squaring the roots of whole equation}

=> k = 4/12

=> k = 1/3

Thus , k = 1/3