math

Solve the equation by completing the square. If the solutions are real, give exact and approximate answers. Otherwise, list the exact solutions. 7x^2-4x+1=2x^2-7x+3 Please help!!!!! :(

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1. No problem. First, collect things into a useful form.
7x^2-4x+1=2x^2-7x+3
5x^2+3x=2
5(x^2+3/5 x) = 2
Now, divide 3/5 by 2 and square it.
Make sure to add the same amount to both sides.
5(x^2 + 3/5 x + (3/10)^2) = 2 + 5(3/10)^2
5(x + 3/10)^2 = 245/100
(x + 3/10)^2 = 45/100
x + 3/10 = ±3√5/10
x = (-3±3√5)/10

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posted by Steve

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