How do you solve x^2 - 17x + 72 =0 using the quadratic formula?

1 Answer
Feb 26, 2016

Solution is x=9 or x=8

Explanation:

For equation ax^2+bx+c=0, the solution given by quadratic formula is (-b+-sqrt(b^2-4ac))/(2a).

To solve x^2−17x+72=0, we know that a=1, b=-17 and c=72

Hence, solution is given by (-(-17)+-sqrt((-17)^2-4*1*72))/(2*1) or

(17+-sqrt(289-288))/2 or (17+-1)/2 or (17+1)/2 and (17-1)/2

Hence, solution is x=9 or x=8