What are the solutions to the equation completesquare x^2+10x ?

The solutions to the equation completesquare x^2+10x are (x+5)^2-25

Find the zeros of completesquare x^2+10x

The zeros of completesquare x^2+10x are (x+5)^2-25

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complete the square

x^{2} + 10 x

(x + 5)^{2} - 25

Solution steps

x^{2} + 10 x

Write

x^{2} + 10 x

in the form:

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

2 a = 10 : a = 5

Add and subtract

5^{2}

x^{2} + 10 x + 5^{2} - 5^{2}

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

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

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

Simplify

(x + 5)^{2} - 25

x, x^{2} + y^{2} + 4 x - 8 y + 20 = 0

x + 11 = 10 x^{2}

3 x^{2} + 12 x - 21 = 0

x, x^{2} y^{2} + \frac{x}{y} = 2 x

What are the solutions to the equation completesquare x^2+10x ?
The solutions to the equation completesquare x^2+10x are (x+5)^2-25
Find the zeros of completesquare x^2+10x
The zeros of completesquare x^2+10x are (x+5)^2-25