Question

For what value of k the quadratic equation x2-kx+4=0 has equal roots.

Answer 1

this is the required value of k

Answer 2

Given Quadratic Equation is x^2 - kx + 4 = 0.

Comparing Equation with ax^2 + bx + c = 0

a = 1, b = -k, c = 4.

Given that the Equation has real roots.

D = 0

b^2 - 4ac = 0

(-k)^2 - 4(1)(4) = 0

k^2 - 16 = 0

k^2 = 16

k = 4 (or) - 4.


Hope this helps!