What are the solutions to the equation completesquare-3x^2-36x-104 ?

The solutions to the equation completesquare-3x^2-36x-104 are -3(x+6)^2+4

Find the zeros of completesquare-3x^2-36x-104

The zeros of completesquare-3x^2-36x-104 are -3(x+6)^2+4

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complete the square

- 3 x^{2} - 36 x - 104

- 3 (x + 6)^{2} + 4

Solution steps

- 3 x^{2} - 36 x - 104

Write

- 3 x^{2} - 36 x - 104

in the form:

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

Factor out

- 3

- 3 (x^{2} + 12 x + \frac{104}{3})

2 a = 12 : a = 6

Add and subtract

6^{2}

- 3 (x^{2} + 12 x + \frac{104}{3} + 6^{2} - 6^{2})

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

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

- 3 ((x + 6)^{2} + \frac{104}{3} - 6^{2})

Simplify

- 3 (x + 6)^{2} + 4

x, x^{2} y^{3} + 2 x = 6 y - 10

x^{2} + 6 x + 9 = 2 x (x + 7)

4 x^{2} - 16 x - 48

(x - 4)^{2} - 25 = 12

(x + 7)^{2} - 288 = 0

What are the solutions to the equation completesquare-3x^2-36x-104 ?
The solutions to the equation completesquare-3x^2-36x-104 are -3(x+6)^2+4
Find the zeros of completesquare-3x^2-36x-104
The zeros of completesquare-3x^2-36x-104 are -3(x+6)^2+4