What are the solutions to the equation completesquare 7x^2+28x+26 ?

The solutions to the equation completesquare 7x^2+28x+26 are 7(x+2)^2-2

Find the zeros of completesquare 7x^2+28x+26

The zeros of completesquare 7x^2+28x+26 are 7(x+2)^2-2

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complete the square

7 x^{2} + 28 x + 26

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

Solution steps

7 x^{2} + 28 x + 26

Write

7 x^{2} + 28 x + 26

in the form:

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

Factor out

7

7 (x^{2} + 4 x + \frac{26}{7})

2 a = 4 : a = 2

Add and subtract

2^{2}

7 (x^{2} + 4 x + \frac{26}{7} + 2^{2} - 2^{2})

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

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

7 ((x + 2)^{2} + \frac{26}{7} - 2^{2})

Simplify

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

w^{2} + 8 w + 16 = 0

s^{2} - 4 s + 20

6 x^{2} = 10 x - 1

x^{2} + 14 x + 49 = 9

w^{2} = 100

What are the solutions to the equation completesquare 7x^2+28x+26 ?
The solutions to the equation completesquare 7x^2+28x+26 are 7(x+2)^2-2
Find the zeros of completesquare 7x^2+28x+26
The zeros of completesquare 7x^2+28x+26 are 7(x+2)^2-2