What are the solutions to the equation completesquare x^2+10x+6 ?

The solutions to the equation completesquare x^2+10x+6 are (x+5)^2-19

Find the zeros of completesquare x^2+10x+6

The zeros of completesquare x^2+10x+6 are (x+5)^2-19

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complete the square

x^{2} + 10 x + 6

(x + 5)^{2} - 19

Solution steps

x^{2} + 10 x + 6

Write

x^{2} + 10 x + 6

in the form:

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

2 a = 10 : a = 5

Add and subtract

5^{2}

x^{2} + 10 x + 6 + 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} + 6 - 5^{2}

Simplify

(x + 5)^{2} - 19

y^{2} - 6 y = 16

3 x - 4 x^{2} = 8

x^{2} + 10 x + 25 = 4

\frac{1}{3} x^{2} - 8 = \frac{1}{3}

3 x^{2} = 200

What are the solutions to the equation completesquare x^2+10x+6 ?
The solutions to the equation completesquare x^2+10x+6 are (x+5)^2-19
Find the zeros of completesquare x^2+10x+6
The zeros of completesquare x^2+10x+6 are (x+5)^2-19