What are the solutions to the equation completesquare x^2+12x-69 ?

The solutions to the equation completesquare x^2+12x-69 are (x+6)^2-105

Find the zeros of completesquare x^2+12x-69

The zeros of completesquare x^2+12x-69 are (x+6)^2-105

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complete the square

x^{2} + 12 x - 69

(x + 6)^{2} - 105

Solution steps

x^{2} + 12 x - 69

Write

x^{2} + 12 x - 69

in the form:

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

2 a = 12 : a = 6

Add and subtract

6^{2}

x^{2} + 12 x - 69 + 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} - 69 - 6^{2}

Simplify

(x + 6)^{2} - 105

3 x^{2} = 12 x^{2} - 144

3 (y + 1)^{2} - 10 (y + 1) + 8 = 0

3 w^{2} + 49 w + 60 = 0

d (x) = 5 x^{2} + 3 x - 4, d (2 x - 3)

x^{2} + 8 x - 7

What are the solutions to the equation completesquare x^2+12x-69 ?
The solutions to the equation completesquare x^2+12x-69 are (x+6)^2-105
Find the zeros of completesquare x^2+12x-69
The zeros of completesquare x^2+12x-69 are (x+6)^2-105