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)^2-8

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

The zeros of completesquare 3x^2-6x-5 are 3(x-1)^2-8

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complete the square

3 x^{2} - 6 x - 5

3 (x - 1)^{2} - 8

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} - 8

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

x^{2} - 6 x + 5

x^{2} + 7 x + 36 = 0

- 6 x^{2} - 24 x - 240 = 0

a^{2} x^{2} - 2 a x - 3 = 0

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)^2-8
Find the zeros of completesquare 3x^2-6x-5
The zeros of completesquare 3x^2-6x-5 are 3(x-1)^2-8