# If the sum of the roots of a quadratic equation is 6 and their product is 6, the equation is

Question:

If the sum of the roots of a quadratic equation is 6 and their product is 6, the equation is

(a) $x^{2}-6 x+6=0$

(b) $x^{2}+6 x-6=0$

(c) $x^{2}-6 x-6=0$

(d) $x^{2}+6 x+6=0$

Solution:

(a) $x^{2}-6 x+6=0$

Given :

Sum of roots $=6$

Product of roots $=6$

Thus, the equation is:

$x^{2}-6 x+6=0$