What are the solutions to the equation completesquare x^2+12x+36 ?

The solutions to the equation completesquare x^2+12x+36 are (x+6)^2

Find the zeros of completesquare x^2+12x+36

The zeros of completesquare x^2+12x+36 are (x+6)^2

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complete the square

x^{2} + 12 x + 36

(x + 6)^{2}

Solution steps

x^{2} + 12 x + 36

Write

x^{2} + 12 x + 36

in the form:

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

2 a = 12 : a = 6

Add and subtract

6^{2}

x^{2} + 12 x + 36 + 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} + 36 - 6^{2}

Simplify

(x + 6)^{2}

x^{2} - 6 x - 16 = 0

x^{2} + 6 x - 4 = 0

x^{2} - 2 x + 1 = 3

x, x z + y z^{3} = 2 + x^{2} e^{y}

86 = 6 + 8 (x^{2})

What are the solutions to the equation completesquare x^2+12x+36 ?
The solutions to the equation completesquare x^2+12x+36 are (x+6)^2
Find the zeros of completesquare x^2+12x+36
The zeros of completesquare x^2+12x+36 are (x+6)^2