Question

Find the value of k for quadratic equation 2x2-x+k=0 so that they have two equal roots

Answer 1

u duid a mistake the question is2.2-x-k=0

Answer 2

Answer:

The value of k is $\frac{1}{8}$.

Step-by-step explanation:

The given equation is

$2x^2-x+k=0$

The quadratic equation $ax^2+bx+c=0$ has two equal roots if

$b^2-4ac=0$

We have

a=2, b=-1 and c=k

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

$1-8k=0$

$1=8k$

$\frac{1}{8}=k$

Therefore the value of k is $\frac{1}{8}$.