What are the solutions to the equation completesquare 2x^2-8x+10 ?

The solutions to the equation completesquare 2x^2-8x+10 are 2(x-2)^2+2

Find the zeros of completesquare 2x^2-8x+10

The zeros of completesquare 2x^2-8x+10 are 2(x-2)^2+2

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complete the square

2 x^{2} - 8 x + 10

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

Solution steps

2 x^{2} - 8 x + 10

Write

2 x^{2} - 8 x + 10

in the form:

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

Factor out

2

2 (x^{2} - 4 x + 5)

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

2 (x^{2} - 4 x + 5 + (- 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} + 5 - (- 2)^{2})

Simplify

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

2 x - 8 = x^{2} + 13 x + 20

n^{2} - 5 n + 12 = 8

3 m (2 m + 9) = 0

4 x^{2} + 1 = 5

6 r^{2} + 6 r + 12 = 0

What are the solutions to the equation completesquare 2x^2-8x+10 ?
The solutions to the equation completesquare 2x^2-8x+10 are 2(x-2)^2+2
Find the zeros of completesquare 2x^2-8x+10
The zeros of completesquare 2x^2-8x+10 are 2(x-2)^2+2