What are the solutions to the equation completesquare 2x^2+16x+5 ?

The solutions to the equation completesquare 2x^2+16x+5 are 2(x+4)^2-27

Find the zeros of completesquare 2x^2+16x+5

The zeros of completesquare 2x^2+16x+5 are 2(x+4)^2-27

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complete the square

2 x^{2} + 16 x + 5

2 (x + 4)^{2} - 27

Solution steps

2 x^{2} + 16 x + 5

Write

2 x^{2} + 16 x + 5

in the form:

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

Factor out

2

2 (x^{2} + 8 x + \frac{5}{2})

2 a = 8 : a = 4

Add and subtract

4^{2}

2 (x^{2} + 8 x + \frac{5}{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{5}{2} - 4^{2})

Simplify

2 (x + 4)^{2} - 27

2 x^{2} + 16 x + 6

4 x^{2} + 32 x + 73 = 0

3 x^{2} - 2 = - x

5 x^{2} - 6 x - 2 = - 9 x

2 k^{2} - 16 k + 168 = 0

What are the solutions to the equation completesquare 2x^2+16x+5 ?
The solutions to the equation completesquare 2x^2+16x+5 are 2(x+4)^2-27
Find the zeros of completesquare 2x^2+16x+5
The zeros of completesquare 2x^2+16x+5 are 2(x+4)^2-27