What are the solutions to the equation completesquare 4x^2+8x+7 ?

The solutions to the equation completesquare 4x^2+8x+7 are 4(x+1)^2+3

Find the zeros of completesquare 4x^2+8x+7

The zeros of completesquare 4x^2+8x+7 are 4(x+1)^2+3

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complete the square

4 x^{2} + 8 x + 7

4 (x + 1)^{2} + 3

Solution steps

4 x^{2} + 8 x + 7

Write

4 x^{2} + 8 x + 7

in the form:

x^{2} + 2 a x + a^{2}

Factor out

4

4 (x^{2} + 2 x + \frac{7}{4})

2 a = 2 : a = 1

Add and subtract

1^{2}

4 (x^{2} + 2 x + \frac{7}{4} + 1^{2} - 1^{2})

x^{2} + 2 a x + a^{2} = (x + a)^{2}

x^{2} + 2 x + 1^{2} = (x + 1)^{2}

4 ((x + 1)^{2} + \frac{7}{4} - 1^{2})

Simplify

4 (x + 1)^{2} + 3

4 x^{2} - 8 x - 13 = 0

8 n^{2} + 8 n + 2 = 0

y, x^{3} - x y^{2} + 2 y^{2} = 0

a^{2} + 2^{2} = 3^{2}

x, y^{- 1} = x^{2}

What are the solutions to the equation completesquare 4x^2+8x+7 ?
The solutions to the equation completesquare 4x^2+8x+7 are 4(x+1)^2+3
Find the zeros of completesquare 4x^2+8x+7
The zeros of completesquare 4x^2+8x+7 are 4(x+1)^2+3