What are the solutions to the equation completesquare x^2+12x-3 ?

The solutions to the equation completesquare x^2+12x-3 are (x+6)^2-39

Find the zeros of completesquare x^2+12x-3

The zeros of completesquare x^2+12x-3 are (x+6)^2-39

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complete the square

x^{2} + 12 x - 3

(x + 6)^{2} - 39

Solution steps

x^{2} + 12 x - 3

Write

x^{2} + 12 x - 3

in the form:

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

2 a = 12 : a = 6

Add and subtract

6^{2}

x^{2} + 12 x - 3 + 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} - 3 - 6^{2}

Simplify

(x + 6)^{2} - 39

(a x + 5 b)^{2} - (b x + 5 a)^{2} = 0

x^{2} - 203 x + 252 = 0

x^{2} + 3 x - 18 = 0

x^{2} + 12 x + 20

x^{2} + 12 x + 13

What are the solutions to the equation completesquare x^2+12x-3 ?
The solutions to the equation completesquare x^2+12x-3 are (x+6)^2-39
Find the zeros of completesquare x^2+12x-3
The zeros of completesquare x^2+12x-3 are (x+6)^2-39