Question

Roots of quadratic equation $x+\frac{20}{x}-12=0$ are

• A. $10,-2$
• B. $-10,2$
• C. $10,2$
• D. $-10,-2$

Answer 1

Answer: (C)

$10,2$

Given equation is

$x+\frac{20}{x}-12=0$

$x^2+20-12x=0$
$x^2-10x-2x+20=0$
$(x-10)(x-2)=0$
$\therefore x=2,12$

$\therefore$ roots of the given equation are $2,12$