Question

x2+10x+9=0
Solve it by using quadratic formula

Answer 1

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Answer 2

The solutions for Quadratic equation x²+ 10x + 9 = 0 are -1 and -9

Given:

Quadratic equation: x²+ 10x + 9 = 0

To find:

Solve above equation by using quadratic formula

Solution:

Compare given equation with ax²+bx+c = 0

⇒ a = 1, b = 10 and c = 9

As we know solution for Quadratic equation ax²+bx+c = 0 is given by

                           x = -b ± √(b²-4ac) /2a  

⇒ x = [- 10 ± √10² -4(1)(9)]  / 2(1)

⇒ x = [-10 ± √100 - 36 ] /2

⇒ x = [ -10 ± √64 ] /2

⇒ x = [ -10 ± 8 ] /2      

⇒ x = -10 + 8 /2         and  x = -10- 8 /2

   x = -2/2 = -1           and  x = -18 /2 = -9

The solutions for Quadratic equation x²+ 10x + 9 = 0 are -1 and -9

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