How do you factor and solve m^2=-6m-7?

1 Answer

m =sqrt2-3" or " m=-sqrt2-3

Explanation:

m^2 =-6m-7

m²+6m+9=-7+9" add "(6/2)^2 to both sides
(m+3)²=2

(m+3)^2 - 2=0" " factor as difference of squares

(m+3+sqrt2) (m+3-sqrt2)=0

m+3=sqrt2 " or " m+3=-sqrt2

m = sqrt2-3" or "m= -sqrt2 -3