What are the solutions to the equation completesquare 2x^2+16x+35 ?

The solutions to the equation completesquare 2x^2+16x+35 are 2(x+4)^2+3

Find the zeros of completesquare 2x^2+16x+35

The zeros of completesquare 2x^2+16x+35 are 2(x+4)^2+3

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complete the square

2 x^{2} + 16 x + 35

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

Solution steps

2 x^{2} + 16 x + 35

Write

2 x^{2} + 16 x + 35

in the form:

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

Factor out

2

2 (x^{2} + 8 x + \frac{35}{2})

2 a = 8 : a = 4

Add and subtract

4^{2}

2 (x^{2} + 8 x + \frac{35}{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{35}{2} - 4^{2})

Simplify

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

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

x^{2} + 10 x = 3

x^{2} - 4 x + 4

x, y^{4} = y^{2} - x^{2}

4 x^{2} = 5 x + 8

What are the solutions to the equation completesquare 2x^2+16x+35 ?
The solutions to the equation completesquare 2x^2+16x+35 are 2(x+4)^2+3
Find the zeros of completesquare 2x^2+16x+35
The zeros of completesquare 2x^2+16x+35 are 2(x+4)^2+3