SOLUTION: Which of the following are solutions to the equation below? Check all that apply. x2 + 10x + 25 = 8 A. x = 8 - B. x = 8 + C. x = - D. x = -2 - 5 E.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Which of the following are solutions to the equation below? Check all that apply. x2 + 10x + 25 = 8 A. x = 8 - B. x = 8 + C. x = - D. x = -2 - 5 E.      Log On


   

Question 228670: Which of the following are solutions to the equation below? Check all that apply.
x2 + 10x + 25 = 8
A. x = 8 -
B. x = 8 +
C. x = -
D. x = -2 - 5
E. x = 2 - 5
F. x = - - 10

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
The left side of the equation is a perfect square:
%28x%2B5%29%5E2=+8

Take the square root of each side:
x%2B5=+0%2B-sqrt%288%29

Subtract 5 from each side:
x=-5%2B-sqrt%288%29
x=-5%2B2%2Asqrt%282%29 or x=-5-2%2Asqrt%282%29

I don't think ANY of your choices are correct!!

For a complete explanation of the Quadratic Equations, please see my website. Do a "Bing" or "Google" search for my last name "Rapalje" and look for "Rapalje Homepage" near the top of the search list. On my Homepage, look for the link "Basic, Intermediate and College Algebra: One Step at a Time." Choose "Basic Algebra", and look in "Chapter 2" for "Section 2.09 Quadratic Equations."

Dr. Robert J. Rapalje, Retired
Seminole State College
Altamonte Springs Campus