What are the solutions to the equation completesquare 4x^2+8x-9 ?

The solutions to the equation completesquare 4x^2+8x-9 are 4(x+1)^2-13

Find the zeros of completesquare 4x^2+8x-9

The zeros of completesquare 4x^2+8x-9 are 4(x+1)^2-13

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complete the square

4 x^{2} + 8 x - 9

4 (x + 1)^{2} - 13

Solution steps

4 x^{2} + 8 x - 9

Write

4 x^{2} + 8 x - 9

in the form:

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

Factor out

4

4 (x^{2} + 2 x - \frac{9}{4})

2 a = 2 : a = 1

Add and subtract

1^{2}

4 (x^{2} + 2 x - \frac{9}{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{9}{4} - 1^{2})

Simplify

4 (x + 1)^{2} - 13

3 x^{2} + 6 x = 72

2 (x - 3)^{2} + 1 = 101

x^{2} - 7 = 93

2 x^{2} - 3 x - 8

(x - 2) x = 3 x (2 x + 1)

What are the solutions to the equation completesquare 4x^2+8x-9 ?
The solutions to the equation completesquare 4x^2+8x-9 are 4(x+1)^2-13
Find the zeros of completesquare 4x^2+8x-9
The zeros of completesquare 4x^2+8x-9 are 4(x+1)^2-13