Question

if 1/2 is a root of the equation x2 +kx-5/4=0 then find value of k

Answer 1

Answer :

Given quadratic equation is,
x^2 + kx - 5/4 = 0

But it is given that,
1/2 is a root of the given equation.

So we can put the value of x as 1/2 in the given equation.

=> (1/2)^2 + k(1/2) - 5/4 = 0
=> (1/4) + (k/2) = 5/4
=> k/2 = 5/4 - 1/4
=> k/2 = 1
=> k = 2

●So the value of k is 2.

●●● Hope It Helps ●●●