What are the solutions to the equation completesquare x^2+8x+19 ?

The solutions to the equation completesquare x^2+8x+19 are (x+4)^2+3

Find the zeros of completesquare x^2+8x+19

The zeros of completesquare x^2+8x+19 are (x+4)^2+3

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complete the square

x^{2} + 8 x + 19

(x + 4)^{2} + 3

Solution steps

x^{2} + 8 x + 19

Write

x^{2} + 8 x + 19

in the form:

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

2 a = 8 : a = 4

Add and subtract

4^{2}

x^{2} + 8 x + 19 + 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} + 19 - 4^{2}

Simplify

(x + 4)^{2} + 3

(y + 2) (y - 3) = - 6

3 x - 4 = 5 x^{2}

x^{2} - 13 x = 48

(3 z - 18)^{2} + 60 = 42

3 - 3 x^{2} = 5 x^{2} + 15

What are the solutions to the equation completesquare x^2+8x+19 ?
The solutions to the equation completesquare x^2+8x+19 are (x+4)^2+3
Find the zeros of completesquare x^2+8x+19
The zeros of completesquare x^2+8x+19 are (x+4)^2+3