What are the solutions to the equation completesquare 2x^2+8x-5 ?

The solutions to the equation completesquare 2x^2+8x-5 are 2(x+2)^2-13

Find the zeros of completesquare 2x^2+8x-5

The zeros of completesquare 2x^2+8x-5 are 2(x+2)^2-13

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complete the square

2 x^{2} + 8 x - 5

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

Solution steps

2 x^{2} + 8 x - 5

Write

2 x^{2} + 8 x - 5

in the form:

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

Factor out

2

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

2 a = 4 : a = 2

Add and subtract

2^{2}

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

Simplify

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

- x^{2} + 3 x - 10 = 0

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

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

0 = x^{2} - 6

9 x^{2} - 8 x - 1 = 0

What are the solutions to the equation completesquare 2x^2+8x-5 ?
The solutions to the equation completesquare 2x^2+8x-5 are 2(x+2)^2-13
Find the zeros of completesquare 2x^2+8x-5
The zeros of completesquare 2x^2+8x-5 are 2(x+2)^2-13