What are the solutions to the equation completesquare 2x^2-8x+3 ?

The solutions to the equation completesquare 2x^2-8x+3 are 2(x-2)^2-5

Find the zeros of completesquare 2x^2-8x+3

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

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complete the square

2 x^{2} - 8 x + 3

2 (x - 2)^{2} - 5

Solution steps

2 x^{2} - 8 x + 3

Write

2 x^{2} - 8 x + 3

in the form:

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

Factor out

2

2 (x^{2} - 4 x + \frac{3}{2})

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

2 (x^{2} - 4 x + \frac{3}{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{3}{2} - (- 2)^{2})

Simplify

2 (x - 2)^{2} - 5

x^{2} + 3 = 28

14 - 6 x^{2} = 0

5 - 3 x^{2} = 0

- 3 x^{2} - 2 x + 1 = 0

x^{2} + 64 = - 15 x

What are the solutions to the equation completesquare 2x^2-8x+3 ?
The solutions to the equation completesquare 2x^2-8x+3 are 2(x-2)^2-5
Find the zeros of completesquare 2x^2-8x+3
The zeros of completesquare 2x^2-8x+3 are 2(x-2)^2-5