What are the solutions to the equation completesquare x^2+2x+9 ?

The solutions to the equation completesquare x^2+2x+9 are (x+1)^2+8

Find the zeros of completesquare x^2+2x+9

The zeros of completesquare x^2+2x+9 are (x+1)^2+8

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complete the square

x^{2} + 2 x + 9

(x + 1)^{2} + 8

Solution steps

x^{2} + 2 x + 9

Write

x^{2} + 2 x + 9

in the form:

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

2 a = 2 : a = 1

Add and subtract

1^{2}

x^{2} + 2 x + 9 + 1^{2} - 1^{2}

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

x^{2} + 2 x + 1^{2} = (x + 1)^{2}

(x + 1)^{2} + 9 - 1^{2}

Simplify

(x + 1)^{2} + 8

2 x^{2} + 15 = 23

v^{2} + 11 v = - 28

0 = 32 + 16 t - 16 t^{2}

28 - 6 Q^{2} = 0

4 x^{2} = - 4 x - 16

What are the solutions to the equation completesquare x^2+2x+9 ?
The solutions to the equation completesquare x^2+2x+9 are (x+1)^2+8
Find the zeros of completesquare x^2+2x+9
The zeros of completesquare x^2+2x+9 are (x+1)^2+8