Question

The value of p for which the roots are real and equal of the following equation
$4x^2$ + px + 3 = 0 is p = $\pm 4\sqrt{3}$

• A. True
• B. False

Answer 1

The correct option is A True

$4x^2+px+3=0$

$\Rightarrow$ Here, $a=4,b=p,c=3$

$\Rightarrow$ It is given that roots are real and equal.

$\therefore$ $b^2-4ac=0$

$\Rightarrow$ $(p{)}^2-4(4\left)\right(3)=0$

$\Rightarrow$ $p^2-48=0$

$\Rightarrow$ $p^2=48$

$\Rightarrow$ $p=\pm \sqrt{16\times 3}$

$\therefore$ $p=\pm 4\sqrt{3}$