Question

For what value of $K$,$K{x}^2-5x+K=0$ will have real and equal roots?

Answer 1

$K{x}^2-5x+K=0$

For real and equal roots, $△=0\Rightarrow b^2-4ac\Rightarrow (-5{)}^2-4(K\left)\right(K)=0$

$25-4K^2=0$

$K=\pm \frac{5}{2}$