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

The solutions to the equation completesquare x^2+26x are (x+13)^2-169

Find the zeros of completesquare x^2+26x

The zeros of completesquare x^2+26x are (x+13)^2-169

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complete the square

x^{2} + 26 x

(x + 13)^{2} - 169

Solution steps

x^{2} + 26 x

Write

x^{2} + 26 x

in the form:

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

2 a = 26 : a = 13

Add and subtract

1 3^{2}

x^{2} + 26 x + 1 3^{2} - 1 3^{2}

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

x^{2} + 26 x + 1 3^{2} = (x + 13)^{2}

(x + 13)^{2} - 1 3^{2}

Simplify

(x + 13)^{2} - 169

- 10 x^{2} + x + 11 = 0

8 x^{2} + 32 x = 0

8^{2} + b^{2} = 1 0^{2}

14 x^{2} - 33 x - 5 = 0

x^{2} + 4 x = 17

What are the solutions to the equation completesquare x^2+26x ?
The solutions to the equation completesquare x^2+26x are (x+13)^2-169
Find the zeros of completesquare x^2+26x
The zeros of completesquare x^2+26x are (x+13)^2-169