What are the solutions to the equation completesquare-3x^2-24x-46 ?

The solutions to the equation completesquare-3x^2-24x-46 are -3(x+4)^2+2

Find the zeros of completesquare-3x^2-24x-46

The zeros of completesquare-3x^2-24x-46 are -3(x+4)^2+2

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complete the square

- 3 x^{2} - 24 x - 46

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

Solution steps

- 3 x^{2} - 24 x - 46

Write

- 3 x^{2} - 24 x - 46

in the form:

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

Factor out

- 3

- 3 (x^{2} + 8 x + \frac{46}{3})

2 a = 8 : a = 4

Add and subtract

4^{2}

- 3 (x^{2} + 8 x + \frac{46}{3} + 4^{2} - 4^{2})

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

x^{2} + 8 x + 4^{2} = (x + 4)^{2}

- 3 ((x + 4)^{2} + \frac{46}{3} - 4^{2})

Simplify

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

65 x^{2} - 1 = x^{2}

x^{2} + 10 x + 9 = 0

y^{2} - 12 \cdot = 0

x^{2} - 63 = - 2 x

1 0^{2} = 2^{2} + x^{2}

What are the solutions to the equation completesquare-3x^2-24x-46 ?
The solutions to the equation completesquare-3x^2-24x-46 are -3(x+4)^2+2
Find the zeros of completesquare-3x^2-24x-46
The zeros of completesquare-3x^2-24x-46 are -3(x+4)^2+2