What are the solutions to the equation completesquare x^2+12x+13 ?

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

Find the zeros of completesquare x^2+12x+13

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

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complete the square

x^{2} + 12 x + 13

(x + 6)^{2} - 23

Solution steps

x^{2} + 12 x + 13

Write

x^{2} + 12 x + 13

in the form:

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

2 a = 12 : a = 6

Add and subtract

6^{2}

x^{2} + 12 x + 13 + 6^{2} - 6^{2}

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

x^{2} + 12 x + 6^{2} = (x + 6)^{2}

(x + 6)^{2} + 13 - 6^{2}

Simplify

(x + 6)^{2} - 23

8 y + 3 y^{2} = 35

- 2 x^{2} + 8 x - 3 = - 2 x + 5

16 x^{2} + 20 x + 4 = 0

- 5 x^{2} + 10 x - 2 = 0

12 x^{2} + 13 x = 14

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