What are the solutions to the equation completesquare x^2+6x+18 ?

The solutions to the equation completesquare x^2+6x+18 are (x+3)^2+9

Find the zeros of completesquare x^2+6x+18

The zeros of completesquare x^2+6x+18 are (x+3)^2+9

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complete the square

x^{2} + 6 x + 18

(x + 3)^{2} + 9

Solution steps

x^{2} + 6 x + 18

Write

x^{2} + 6 x + 18

in the form:

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

2 a = 6 : a = 3

Add and subtract

3^{2}

x^{2} + 6 x + 18 + 3^{2} - 3^{2}

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

x^{2} + 6 x + 3^{2} = (x + 3)^{2}

(x + 3)^{2} + 18 - 3^{2}

Simplify

(x + 3)^{2} + 9

- 10 = 0 + 5 t + \frac{1}{2} (9.81 t^{2})

- 6 x = x^{2} + 10

(3 x + 1)^{2} = 49

1 3^{2} + 5^{2} = x^{2}

- 5 x^{2} - 8 x = - 4

What are the solutions to the equation completesquare x^2+6x+18 ?
The solutions to the equation completesquare x^2+6x+18 are (x+3)^2+9
Find the zeros of completesquare x^2+6x+18
The zeros of completesquare x^2+6x+18 are (x+3)^2+9