What are the solutions to the equation completesquare-3x^2+6x-5 ?

The solutions to the equation completesquare-3x^2+6x-5 are -3(x-1)^2-2

Find the zeros of completesquare-3x^2+6x-5

The zeros of completesquare-3x^2+6x-5 are -3(x-1)^2-2

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complete the square

- 3 x^{2} + 6 x - 5

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

Solution steps

- 3 x^{2} + 6 x - 5

Write

- 3 x^{2} + 6 x - 5

in the form:

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

Factor out

- 3

- 3 (x^{2} - 2 x + \frac{5}{3})

2 a = - 2 : a = - 1

Add and subtract

(- 1)^{2}

- 3 (x^{2} - 2 x + \frac{5}{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{5}{3} - (- 1)^{2})

Simplify

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

- 9 p^{2} = - 576

x, x^{2} - 4 x + 8 = 0

3 x^{2} + 2 x = 21

56 x^{2} - 35 x = 0

430 = - 16 p^{2} - 4 p + 442

What are the solutions to the equation completesquare-3x^2+6x-5 ?
The solutions to the equation completesquare-3x^2+6x-5 are -3(x-1)^2-2
Find the zeros of completesquare-3x^2+6x-5
The zeros of completesquare-3x^2+6x-5 are -3(x-1)^2-2