Question

Find the set of values of $p$ for which the equation $p{x}^2-5x+p=0$ has real and equal roots.

Answer 1

For real and equal roots discriminant$=0$

$D^2=b^2-4ac$

$D=25-4p^2=0$

$p^2,\frac{25}{4}$

$p=\pm \frac{5}{2}$.