What are the solutions to the equation completesquare-3x^2-6x+7 ?

The solutions to the equation completesquare-3x^2-6x+7 are -3(x+1)^2+10

Find the zeros of completesquare-3x^2-6x+7

The zeros of completesquare-3x^2-6x+7 are -3(x+1)^2+10

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complete the square

- 3 x^{2} - 6 x + 7

- 3 (x + 1)^{2} + 10

Solution steps

- 3 x^{2} - 6 x + 7

Write

- 3 x^{2} - 6 x + 7

in the form:

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

Factor out

- 3

- 3 (x^{2} + 2 x - \frac{7}{3})

2 a = 2 : a = 1

Add and subtract

1^{2}

- 3 (x^{2} + 2 x - \frac{7}{3} + 1^{2} - 1^{2})

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

x^{2} + 2 x + 1^{2} = (x + 1)^{2}

- 3 ((x + 1)^{2} - \frac{7}{3} - 1^{2})

Simplify

- 3 (x + 1)^{2} + 10

- 21 = 15 - 2 x^{2}

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

- 5 + x^{2} = - 4 x

x^{2} - 5 x = x - 5

9^{2} + 4^{2} = c^{2}

What are the solutions to the equation completesquare-3x^2-6x+7 ?
The solutions to the equation completesquare-3x^2-6x+7 are -3(x+1)^2+10
Find the zeros of completesquare-3x^2-6x+7
The zeros of completesquare-3x^2-6x+7 are -3(x+1)^2+10