How do you solve x^2+10x+9=0 using the quadratic formula?

1 Answer
Oct 25, 2014

The quadratic formula is

x = (-b +- root 2 (b^2 - 4ac))/(2a)

where a, b, and c are the coefficients of the terms of the quadratic equation

For your equation we have

x^2 + 10x + 9 = 0

=> x = (-10 +- root 2 (10^2 - 4(1)(9)))/(2(1))

=> x = (-10 +- root 2 (100 - 36))/(2)

=> x = (-10 +- root 2 64) / 2

=> x = (-10 +- 8)/2

=> x = (-10 + 8)/2, x = (-10 - 8)/2

=> x = -1, x = -9