What are the solutions to the equation completesquare 2x^2-8x+1 ?

The solutions to the equation completesquare 2x^2-8x+1 are 2(x-2)^2-7

Find the zeros of completesquare 2x^2-8x+1

The zeros of completesquare 2x^2-8x+1 are 2(x-2)^2-7

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complete the square

2 x^{2} - 8 x + 1

2 (x - 2)^{2} - 7

Solution steps

2 x^{2} - 8 x + 1

Write

2 x^{2} - 8 x + 1

in the form:

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

Factor out

2

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

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

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

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

x^{2} - 4 x + (- 2)^{2} = (x - 2)^{2}

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

Simplify

2 (x - 2)^{2} - 7

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

4 r^{2} - 5 r - 6 = 0

4 x^{2} - 27 x + 18 = 0

2 c^{2} - 9 c - 2 = 0

2 m^{2} - 16 m + 8 = 0

What are the solutions to the equation completesquare 2x^2-8x+1 ?
The solutions to the equation completesquare 2x^2-8x+1 are 2(x-2)^2-7
Find the zeros of completesquare 2x^2-8x+1
The zeros of completesquare 2x^2-8x+1 are 2(x-2)^2-7