Question

Frame the quadratic equation whose roots are -5, -12

• A. $x^2+17x-60=0$
• B. $x^2-17x+60=0$
• C. $x^2+17x+60=0$
• D. $x^2-17x-60=0$

Answer 1

The correct option is C

$x^2+17x+60=0$

Given: Roots of a quadratic equation are -5. -12

$\Rightarrow (x-(-5\left)\right(x-(-12))=0$

$\Rightarrow (x+5)(x+12))=0$

$\Rightarrow x^2+5x+12x+60=0$

$\Rightarrow x^2+17x+60=0$