What are the solutions to the equation completesquare x^2+8x+15 ?

The solutions to the equation completesquare x^2+8x+15 are (x+4)^2-1

Find the zeros of completesquare x^2+8x+15

The zeros of completesquare x^2+8x+15 are (x+4)^2-1

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complete the square

x^{2} + 8 x + 15

(x + 4)^{2} - 1

Solution steps

x^{2} + 8 x + 15

Write

x^{2} + 8 x + 15

in the form:

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

2 a = 8 : a = 4

Add and subtract

4^{2}

x^{2} + 8 x + 15 + 4^{2} - 4^{2}

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

x^{2} + 8 x + 4^{2} = (x + 4)^{2}

(x + 4)^{2} + 15 - 4^{2}

Simplify

(x + 4)^{2} - 1

x^{2} + m x + n = 0

10 - 7 s^{2} = 1

28 = - t^{2} + 3 t + 27

x^{2} - 8 x + 16 = 36

4^{2} + b^{2} = 7^{2}

What are the solutions to the equation completesquare x^2+8x+15 ?
The solutions to the equation completesquare x^2+8x+15 are (x+4)^2-1
Find the zeros of completesquare x^2+8x+15
The zeros of completesquare x^2+8x+15 are (x+4)^2-1