What are the solutions to the equation completesquare x^2+8x+3 ?

The solutions to the equation completesquare x^2+8x+3 are (x+4)^2-13

Find the zeros of completesquare x^2+8x+3

The zeros of completesquare x^2+8x+3 are (x+4)^2-13

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complete the square

x^{2} + 8 x + 3

(x + 4)^{2} - 13

Solution steps

x^{2} + 8 x + 3

Write

x^{2} + 8 x + 3

in the form:

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

2 a = 8 : a = 4

Add and subtract

4^{2}

x^{2} + 8 x + 3 + 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} + 3 - 4^{2}

Simplify

(x + 4)^{2} - 13

x, x^{2} + y^{2} = z^{2}

5 x^{2} + 9 = 14

x^{2} - 17 x - 60 = 0

(x + 3)^{2} = 81

x, x^{2} + y^{2} = - 1

What are the solutions to the equation completesquare x^2+8x+3 ?
The solutions to the equation completesquare x^2+8x+3 are (x+4)^2-13
Find the zeros of completesquare x^2+8x+3
The zeros of completesquare x^2+8x+3 are (x+4)^2-13