What are the solutions to the equation completesquare 2x^2+16x-11 ?

The solutions to the equation completesquare 2x^2+16x-11 are 2(x+4)^2-43

Find the zeros of completesquare 2x^2+16x-11

The zeros of completesquare 2x^2+16x-11 are 2(x+4)^2-43

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complete the square

2 x^{2} + 16 x - 11

2 (x + 4)^{2} - 43

Solution steps

2 x^{2} + 16 x - 11

Write

2 x^{2} + 16 x - 11

in the form:

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

Factor out

2

2 (x^{2} + 8 x - \frac{11}{2})

2 a = 8 : a = 4

Add and subtract

4^{2}

2 (x^{2} + 8 x - \frac{11}{2} + 4^{2} - 4^{2})

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

x^{2} + 8 x + 4^{2} = (x + 4)^{2}

2 ((x + 4)^{2} - \frac{11}{2} - 4^{2})

Simplify

2 (x + 4)^{2} - 43

x^{2} + \frac{1}{4} = 1

2 x^{2} + 6 x + 3

11 m^{2} - 11 m + 3 = 6 m^{2}

x, (x + y)^{2} = 2 x + 2 y

v^{2} - 9 v + 18 = 0

What are the solutions to the equation completesquare 2x^2+16x-11 ?
The solutions to the equation completesquare 2x^2+16x-11 are 2(x+4)^2-43
Find the zeros of completesquare 2x^2+16x-11
The zeros of completesquare 2x^2+16x-11 are 2(x+4)^2-43