What are the solutions to the equation completesquare x^2+12x+23=0 ?

The solutions to the equation completesquare x^2+12x+23=0 are x=sqrt(13)-6,x=-sqrt(13)-6

Find the zeros of completesquare x^2+12x+23=0

The zeros of completesquare x^2+12x+23=0 are x=sqrt(13)-6,x=-sqrt(13)-6

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x^{2} + 12 x + 23 = 0

x = 13 - 6, x = - 13 - 6

Decimal Notation

x = - 2.39444 \dots, x = - 9.60555 \dots

Solution steps

x^{2} + 12 x + 23 = 0

Move

23

to the right side

x^{2} + 12 x = - 23

Rewrite in the form

(x + a)^{2} = b

(x + 6)^{2} = 13

For

the solutions are

f (x) = a, - a

Solve

x + 6 = 13 : x = 13 - 6

Solve

x + 6 = - 13 : x = - 13 - 6

The solutions to the quadratic equation are:

x = 13 - 6, x = - 13 - 6

x^{2} - 4 x - 5 = 0

x^{2} = 3 x + 7

6 x^{2} = - 9 x - 1

x^{2} + 12 x + 32 = 0

x, 128 = 192 - x^{2}

What are the solutions to the equation completesquare x^2+12x+23=0 ?
The solutions to the equation completesquare x^2+12x+23=0 are x=sqrt(13)-6,x=-sqrt(13)-6
Find the zeros of completesquare x^2+12x+23=0
The zeros of completesquare x^2+12x+23=0 are x=sqrt(13)-6,x=-sqrt(13)-6