Question

Solve x2 + 6x + 7 = 0.

Answer 1

Answer:

no solution

Step-by-step explanation:

use the box method to find out the factors

                 |         7      

     x^2      |

the top left and top right must multiply to 7x^2 and add up to 6x.

7 is multiplied together by 7 and 1, but only 7 and -1 can add up to 6x, so therefore there is no solution to this equation

another way is the quadratic equation

for an equation in form ax^2 +bx + c,

the quadratic equation states x = (-b + square root(b^2-4ac))/2a

in this case : x = -6 + (6^2 -28)^1/2 = -6+ (some negative root that doesn't exist)

so x = no solution

Answer 2

Answer:

x= -7/8

Step-by-step explanation:

8x + 7 = 0

8x + 7-7 = 0-7

8x=-7

8x/8x = -7/8