What are the solutions to the equation completesquare x^2+14x ?

The solutions to the equation completesquare x^2+14x are (x+7)^2-49

Find the zeros of completesquare x^2+14x

The zeros of completesquare x^2+14x are (x+7)^2-49

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complete the square

x^{2} + 14 x

(x + 7)^{2} - 49

Solution steps

x^{2} + 14 x

Write

x^{2} + 14 x

in the form:

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

2 a = 14 : a = 7

Add and subtract

7^{2}

x^{2} + 14 x + 7^{2} - 7^{2}

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

x^{2} + 14 x + 7^{2} = (x + 7)^{2}

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

Simplify

(x + 7)^{2} - 49

(x - 3)^{2} - (2 x + 5)^{2} = - 16

12 - x^{2} = - 3

x, x^{2} + x y + y^{2} = 3

4 x^{2} + 8 x + 13 = 0

12 x - 7 x^{2} + 64 = 0

What are the solutions to the equation completesquare x^2+14x ?
The solutions to the equation completesquare x^2+14x are (x+7)^2-49
Find the zeros of completesquare x^2+14x
The zeros of completesquare x^2+14x are (x+7)^2-49