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)^2-2

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

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

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complete the square

4 x^{2} - 8 x + 2

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

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} - 2

0.01 y^{2} - 0.02 y - 0.01 = 0

3 v^{2} - 48 = 0

x^{2} + 12 x - 364 = 0

x^{2} + 12 x - 3

(a x + 5 b)^{2} - (b x + 5 a)^{2} = 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)^2-2
Find the zeros of completesquare 4x^2-8x+2
The zeros of completesquare 4x^2-8x+2 are 4(x-1)^2-2