Question

Find the nature of roots of the equation $x^2+ax+b=0$, where $a=2\sqrt{b}$ and $b>3$

• A. Roots are equal
• B. Roots are unequal
• C. Imaginary
• D. None of these

Answer 1

The correct option is A Roots are equal

$x^2+abc+b$ & $a=2\sqrt{b}$

$\Rightarrow x^2+2\left(\sqrt{b}\right)x+(\sqrt{b}{)}^2$

$\Rightarrow (x+\sqrt{b}{)}^2\Rightarrow x=-\sqrt{b},-\sqrt{b}$

$\therefore$ equal roots