SOLUTION: I am having some awful troubles trying to figure out a few problems... Solve: (x+5)^2 = 3 Can anyone help me grasp this please? Thank you so much!

Algebra ->  Equations -> SOLUTION: I am having some awful troubles trying to figure out a few problems... Solve: (x+5)^2 = 3 Can anyone help me grasp this please? Thank you so much!      Log On


   

Question 70085: I am having some awful troubles trying to figure out a few problems...
Solve:
(x+5)^2 = 3
Can anyone help me grasp this please? Thank you so much!
Found 2 solutions by Earlsdon, checkley75:
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
%28x%2B5%29%5E2+=+3 Take the square root of both sides.
x%2B5+=+sqrt%283%29 or x%2B5+=+-sqrt%283%29 Subtract 5 from both sides.
x+=+-5%2Bsqrt%283%29 or x+=+-5-sqrt%283%29

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
(X+5)^2=3
X^2+10X+25-3=0
X^2+10X+22=0
USING THE QUADRATIC EQUATION WE GET
X=(-B+-SQRT[B^2-4AC])/2A
X=(-10+-SQRT[10^2-4*1*22])/2*1
X=(-10+-SQRT[100-88])/2
X=(-10+-SQRT12)/2
X=(-10+-3.464)/2
X=(-10+3.464)/2
X=-6.536/2
X=-3.268 ANSWER
X=(-10-3.464)/2
X=-13.464/2
X=-6.732 ANSWER