What are the solutions to the equation completesquare 2x^2-4x+3 ?

The solutions to the equation completesquare 2x^2-4x+3 are 2(x-1)^2+1

Find the zeros of completesquare 2x^2-4x+3

The zeros of completesquare 2x^2-4x+3 are 2(x-1)^2+1

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complete the square

2 x^{2} - 4 x + 3

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

Solution steps

2 x^{2} - 4 x + 3

Write

2 x^{2} - 4 x + 3

in the form:

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

Factor out

2

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

2 a = - 2 : a = - 1

Add and subtract

(- 1)^{2}

2 (x^{2} - 2 x + \frac{3}{2} + (- 1)^{2} - (- 1)^{2})

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

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

2 ((x - 1)^{2} + \frac{3}{2} - (- 1)^{2})

Simplify

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

(x + 2)^{2} + 3 (x + 1) (x + 4) = (x - 3) (x + 3) - 1

8 x^{2} - 22 x + 15 = 0

2 x - x^{2} = x^{2}

3 (5 x + 7)^{2} - 18 = 48

0.000006 x^{2} - 0.02 x + 25 = 85 - 0.025 x

What are the solutions to the equation completesquare 2x^2-4x+3 ?
The solutions to the equation completesquare 2x^2-4x+3 are 2(x-1)^2+1
Find the zeros of completesquare 2x^2-4x+3
The zeros of completesquare 2x^2-4x+3 are 2(x-1)^2+1