Question

If sum of the roots of a quadratic equation is $8$ and their product is $15$, then the quadratic equation is

• A. $x^2-15x+8=0$
• B. $x^2-8x-15=0$
• C. $x^2-8x+15=0$
• D. $x^2+8x+15=0$

Answer 1

The correct option is C $x^2-8x+15=0$

Given, sum of the roots of a quadratic equation is $8$ and their product is $15$
We know that the quadratic equation is given as
$x^2-\text{(Sum of the roots)}x+\text{(product of the roots)}=0$
$\Rightarrow x^2-8x+15=0$
Hence, the equation is $x^2-8x+15=0$.