What are the solutions to the equation completesquare x^2+8x+14 ?

The solutions to the equation completesquare x^2+8x+14 are (x+4)^2-2

Find the zeros of completesquare x^2+8x+14

The zeros of completesquare x^2+8x+14 are (x+4)^2-2

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complete the square

x^{2} + 8 x + 14

(x + 4)^{2} - 2

Solution steps

x^{2} + 8 x + 14

Write

x^{2} + 8 x + 14

in the form:

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

2 a = 8 : a = 4

Add and subtract

4^{2}

x^{2} + 8 x + 14 + 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} + 14 - 4^{2}

Simplify

(x + 4)^{2} - 2

x^{2} + 8 x + 16

x^{2} + 8^{2} = 1 2^{2}

x, 3 x^{2} - 2 x - 5 = 0

- 72 x^{2} + 18 x + 3 = 0

y^{2} + 6 y = 7

What are the solutions to the equation completesquare x^2+8x+14 ?
The solutions to the equation completesquare x^2+8x+14 are (x+4)^2-2
Find the zeros of completesquare x^2+8x+14
The zeros of completesquare x^2+8x+14 are (x+4)^2-2