What are the solutions to the equation completesquare 2x^2+20x+28 ?

The solutions to the equation completesquare 2x^2+20x+28 are 2(x+5)^2-22

Find the zeros of completesquare 2x^2+20x+28

The zeros of completesquare 2x^2+20x+28 are 2(x+5)^2-22

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complete the square

2 x^{2} + 20 x + 28

2 (x + 5)^{2} - 22

Solution steps

2 x^{2} + 20 x + 28

Write

2 x^{2} + 20 x + 28

in the form:

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

Factor out

2

2 (x^{2} + 10 x + 14)

2 a = 10 : a = 5

Add and subtract

5^{2}

2 (x^{2} + 10 x + 14 + 5^{2} - 5^{2})

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

x^{2} + 10 x + 5^{2} = (x + 5)^{2}

2 ((x + 5)^{2} + 14 - 5^{2})

Simplify

2 (x + 5)^{2} - 22

x^{2} - 14 = - 5

y, x^{2} - x y + y^{2} = 1

9 x^{2} - 30 x + 26 = 0

10 x^{2} - 4 x = 8

\frac{1}{4} (x + 2)^{2} = 27

What are the solutions to the equation completesquare 2x^2+20x+28 ?
The solutions to the equation completesquare 2x^2+20x+28 are 2(x+5)^2-22
Find the zeros of completesquare 2x^2+20x+28
The zeros of completesquare 2x^2+20x+28 are 2(x+5)^2-22