SOLUTION: Hello, I am needing some help in trying to figure out how to solve this equation: (x+b)(x-b)=-8 and x=1. Your help would be very much appreciated. Thankyou and have a good day.

Algebra ->  Expressions-with-variables -> SOLUTION: Hello, I am needing some help in trying to figure out how to solve this equation: (x+b)(x-b)=-8 and x=1. Your help would be very much appreciated. Thankyou and have a good day.      Log On


   



Question 54616: Hello, I am needing some help in trying to figure out how to solve this equation: (x+b)(x-b)=-8 and x=1. Your help would be very much appreciated. Thankyou and have a good day.
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
(x+b)(x-b)=-8 [Substitute x=1 for x]
(1+b)(1-b)=-8 [Use the FOIL method to multiply]
1^2-b+b-b^2=-8 [Simplify]
1-b^2=-8 [Solve for b]
1-1-b^2=-8-1
-b^2=-9
-b^2/-1=-9/-1
b^2=9
sqrt(b^2)=sqrt(9)
b=3
.
check by plugging (b=3) and (x=1) back into the original equation]