What are the solutions to the equation completesquare x^2+2x+17 ?

The solutions to the equation completesquare x^2+2x+17 are (x+1)^2+16

Find the zeros of completesquare x^2+2x+17

The zeros of completesquare x^2+2x+17 are (x+1)^2+16

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complete the square

x^{2} + 2 x + 17

(x + 1)^{2} + 16

Solution steps

x^{2} + 2 x + 17

Write

x^{2} + 2 x + 17

in the form:

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

2 a = 2 : a = 1

Add and subtract

1^{2}

x^{2} + 2 x + 17 + 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} + 17 - 1^{2}

Simplify

(x + 1)^{2} + 16

x, 4 x^{2} - 2 x y^{3} + 3 y^{2} - 6 x + 5 = 0

x \cdot 2 x = 72

x^{2} + 2 x - 39

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

6 q^{2} = 144

What are the solutions to the equation completesquare x^2+2x+17 ?
The solutions to the equation completesquare x^2+2x+17 are (x+1)^2+16
Find the zeros of completesquare x^2+2x+17
The zeros of completesquare x^2+2x+17 are (x+1)^2+16