SOLUTION: Could you please help me. What is the solution of the equation 2(x+2)^2-4=28 when solved for x.

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Could you please help me. What is the solution of the equation 2(x+2)^2-4=28 when solved for x.       Log On


   



Question 1062214: Could you please help me. What is the solution of the equation 2(x+2)^2-4=28 when solved for x.
Found 3 solutions by math_helper, ikleyn, MathTherapy:
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
+2%28x%2B2%29%5E2+-+4+=+28+
+2%28x%5E2%2B4x%2B4%29+-+4+-+28+=+0+
++2x%5E2+%2B+8x+%2B+8+-+4+-28+=+0+
++2x%5E2+%2B+8x+-+24+=+0+
+++x%5E2+%2B+4x+-+12+=+0+ (divided previous line by 2, both sides)
++%28x-2%29%28x%2B6%29+=+0+
x=2 and x=-6

Check:
x=2: 2(x+2)^2 - 4 = 2(4)^2 - 4 = 2(16) - 4 = 32-4 = 28 (ok)
x=-6 2(x+2)^2 - 4= 2(-6+2)^2 - 4 = 2(16)- 4 = 32-4 = 28 (ok)

Answer:
x = 2 and
x = -6 both solve the equation


Answer by ikleyn(52784) About Me  (Show Source):
You can put this solution on YOUR website!
.
Could you please help me. What is the solution of the equation 2(x+2)^2-4=28 when solved for x.
~~~~~~~~~~~~~~~~~~~~~~

2%28x%2B2%29%5E2-4 = 28,

2%28x%2B2%29%5E2 = 28 + 4 = 32,

%28x%2B2%29%5E2 = 32%2F2 = 16,

x + 2 = +/-sqrt%2816%29 = +/-4.

x = -2 + 4 = 2  OR  x = -2 - 4 = -6.

Answer. The solutions are -6 and 2.


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Could you please help me. What is the solution of the equation 2(x+2)^2-4=28 when solved for x.
2%28x+%2B+2%29%5E2+-+4+=+28
2%28x+%2B+2%29%5E2+=+28+%2B+4
2%28x+%2B+2%29%5E2+=+32
%28x+%2B+2%29%5E2+=+16 ----- Dividing by 2
sqrt%28%28x+%2B+2%29%5E2%29+=+%22+%22%2B-+sqrt%2816%29 ------ Taking the square root of each side
x+%2B+2+=+%22+%22%2B-+4
x+=+%22+%22%2B-+4+-+2
highlight_green%28matrix%281%2C5%2C+x%2C+%22=%22%2C+4+-+2%2C+%22=%22%2C+2%29%29 OR highlight_green%28matrix%281%2C5%2C+x%2C+%22=%22%2C+-+4+-+2%2C+%22=%22%2C+-+6%29%29