What are the solutions to the equation completesquare x^2+2x+7 ?

The solutions to the equation completesquare x^2+2x+7 are (x+1)^2+6

Find the zeros of completesquare x^2+2x+7

The zeros of completesquare x^2+2x+7 are (x+1)^2+6

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complete the square

x^{2} + 2 x + 7

(x + 1)^{2} + 6

Solution steps

x^{2} + 2 x + 7

Write

x^{2} + 2 x + 7

in the form:

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

2 a = 2 : a = 1

Add and subtract

1^{2}

x^{2} + 2 x + 7 + 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} + 7 - 1^{2}

Simplify

(x + 1)^{2} + 6

0 = 9 x^{2}

5 + 81 x^{2} = 21

5 x^{2} + 4 x + 9 = 0

2 x^{2} - x = - 8

(7 - 3 x) (x + 2) = 4

What are the solutions to the equation completesquare x^2+2x+7 ?
The solutions to the equation completesquare x^2+2x+7 are (x+1)^2+6
Find the zeros of completesquare x^2+2x+7
The zeros of completesquare x^2+2x+7 are (x+1)^2+6