What are the solutions to the equation completesquare x^2+6x+15 ?

The solutions to the equation completesquare x^2+6x+15 are (x+3)^2+6

Find the zeros of completesquare x^2+6x+15

The zeros of completesquare x^2+6x+15 are (x+3)^2+6

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complete the square

x^{2} + 6 x + 15

(x + 3)^{2} + 6

Solution steps

x^{2} + 6 x + 15

Write

x^{2} + 6 x + 15

in the form:

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

2 a = 6 : a = 3

Add and subtract

3^{2}

x^{2} + 6 x + 15 + 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} + 15 - 3^{2}

Simplify

(x + 3)^{2} + 6

x^{2} + 6 x + 17

x^{2} + 6 x + 18

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

- 6 x = x^{2} + 10

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

What are the solutions to the equation completesquare x^2+6x+15 ?
The solutions to the equation completesquare x^2+6x+15 are (x+3)^2+6
Find the zeros of completesquare x^2+6x+15
The zeros of completesquare x^2+6x+15 are (x+3)^2+6