SOLUTION: Solve (4x + 3)^2 = 5

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Question 250622: Solve
(4x + 3)^2 = 5
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%284x+%2B+3%29%5E2+=+5
16x%5E2%2B24x%2B9+=+5
16x%5E2%2B24x%2B4+=+0
4x%5E2%2B6x%2B1+=+0
Use the quadratic formula,
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-6+%2B-+sqrt%28+6%5E2-4%2A4%2A1+%29%29%2F%282%2A4%29+
x+=+%28-6+%2B-+sqrt%28+36-16+%29%29%2F%288%29+
x+=+%28-6+%2B-+sqrt%28+20+%29%29%2F%288%29+
x+=+%28-6+%2B-+2%2Asqrt%28+5+%29%29%2F%288%29+
x+=+%28-3+%2B-+sqrt%28+5+%29%29%2F%284%29+
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or more directly,
%284x+%2B+3%29%5E2+=+5
4x+%2B+3+=+0+%2B-+sqrt%285%29
4x+=+-3+%2B-+sqrt%285%29
x+=+%28-3+%2B-+sqrt%285%29%29%2F4