Question

If $x^2+px+25=0$, has equal roots, then the value of $p(p>0)$ is

• A. $5$
• B. $10$
• C. $15$
• D. None of these

Answer 1

The correct option is B $10$

$\Rightarrow$ The given equation is $x^2+px+25=0$

$\Rightarrow$ Compairing it with $a{x}^2+bx+c=0$

$\Rightarrow$ We get, $a=1,b=p$ and $c=25$

$\Rightarrow$ We know, $D=b^2-4ac$

$D=(p{)}^2-4(1\left)\right(25)$

$=p^2-100$

For equal roots $D=0$

$\therefore$ $p^2-100=0$

$\therefore$ $p^2=100$

$\therefore$ $p=10$