What are the solutions to the equation completesquare x^2+8x+6 ?

The solutions to the equation completesquare x^2+8x+6 are (x+4)^2-10

Find the zeros of completesquare x^2+8x+6

The zeros of completesquare x^2+8x+6 are (x+4)^2-10

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complete the square

x^{2} + 8 x + 6

(x + 4)^{2} - 10

Solution steps

x^{2} + 8 x + 6

Write

x^{2} + 8 x + 6

in the form:

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

2 a = 8 : a = 4

Add and subtract

4^{2}

x^{2} + 8 x + 6 + 4^{2} - 4^{2}

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

x^{2} + 8 x + 4^{2} = (x + 4)^{2}

(x + 4)^{2} + 6 - 4^{2}

Simplify

(x + 4)^{2} - 10

x^{2} - 2 x - 15 = 0

2 x^{2} - 28 x = - 116

6 x^{2} - x - 222 = 0

x^{2} - 9 x - 5 = 0

x^{2} - 4 x + 19

What are the solutions to the equation completesquare x^2+8x+6 ?
The solutions to the equation completesquare x^2+8x+6 are (x+4)^2-10
Find the zeros of completesquare x^2+8x+6
The zeros of completesquare x^2+8x+6 are (x+4)^2-10