Question

If the quadratic equation ${4x}^2-4x+k=0$ has equal roots , then find the value of $k$

Answer 1

Given:Roots are equal.

$\Rightarrow \Delta =b^2-4ac=0$ where $a=4,b=-4,c=k$

$\Rightarrow {(-4)}^2-4\times 4\times k=0$

$\Rightarrow 16-16k=0$

$\Rightarrow 16(1-k)=0$

$\Rightarrow 1-k=0$

$\therefore k=1$