What are the solutions to the equation completesquare 4x^2-8x-2 ?

The solutions to the equation completesquare 4x^2-8x-2 are 4(x-1)^2-6

Find the zeros of completesquare 4x^2-8x-2

The zeros of completesquare 4x^2-8x-2 are 4(x-1)^2-6

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complete the square

4 x^{2} - 8 x - 2

4 (x - 1)^{2} - 6

Solution steps

4 x^{2} - 8 x - 2

Write

4 x^{2} - 8 x - 2

in the form:

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

Factor out

4

4 (x^{2} - 2 x - \frac{1}{2})

2 a = - 2 : a = - 1

Add and subtract

(- 1)^{2}

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

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

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

4 ((x - 1)^{2} - \frac{1}{2} - (- 1)^{2})

Simplify

4 (x - 1)^{2} - 6

4 x^{2} - 8 x + 1

x^{2} + 5 x + 6 = 12

5 v^{2} + 29 v + 20 = 0

x^{2} - 5 x + 15 = 0

(x + 1)^{2} - 225 = 0

What are the solutions to the equation completesquare 4x^2-8x-2 ?
The solutions to the equation completesquare 4x^2-8x-2 are 4(x-1)^2-6
Find the zeros of completesquare 4x^2-8x-2
The zeros of completesquare 4x^2-8x-2 are 4(x-1)^2-6