Question

Find the value of k for which the Roots are real and equal of quadratic equation kx²-5x+k =0

Answer 1

Hope it helps......................

Answer 2

kx^2 -5x + k = 0

a = k, b = -5, c = k

To have equal roots, b^2 - 4ac = 0

(-5)^2 - 4(k)(k) = 0

      25 - 4k^2 = 0

   5^2 - (2k)^2 = 0

(5 + 2k)(5 - 2k) = 0

   5     5

k = - , - -

   2     2

k = ±2.5