What are the solutions to the equation completesquare 2x^2+8x-1 ?

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

Find the zeros of completesquare 2x^2+8x-1

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

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complete the square

2 x^{2} + 8 x - 1

2 (x + 2)^{2} - 9

Solution steps

2 x^{2} + 8 x - 1

Write

2 x^{2} + 8 x - 1

in the form:

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

Factor out

2

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

2 a = 4 : a = 2

Add and subtract

2^{2}

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

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

x^{2} + 4 x + 2^{2} = (x + 2)^{2}

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

Simplify

2 (x + 2)^{2} - 9

4 m^{2} + 10 = 38

10 = 6 x + x^{2}

x^{2} = 4 \cdot 16

x^{2} = - 5 x - 6

5 x^{2} - 3 x + a - 1 = 0

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