What are the solutions to the equation completesquare 2x^2-12x+28 ?

The solutions to the equation completesquare 2x^2-12x+28 are 2(x-3)^2+10

Find the zeros of completesquare 2x^2-12x+28

The zeros of completesquare 2x^2-12x+28 are 2(x-3)^2+10

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complete the square

2 x^{2} - 12 x + 28

2 (x - 3)^{2} + 10

Solution steps

2 x^{2} - 12 x + 28

Write

2 x^{2} - 12 x + 28

in the form:

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

Factor out

2

2 (x^{2} - 6 x + 14)

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

2 (x^{2} - 6 x + 14 + (- 3)^{2} - (- 3)^{2})

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

x^{2} - 6 x + (- 3)^{2} = (x - 3)^{2}

2 ((x - 3)^{2} + 14 - (- 3)^{2})

Simplify

2 (x - 3)^{2} + 10

x^{2} + 4 x = 7 x + 4

k^{2} - 3 k - 10 = 0

a^{2} + 5 a + 25 = 0

v, m g h = \frac{1}{2} m v^{2}

2700 = 700 + 900 x - 100 x^{2}

What are the solutions to the equation completesquare 2x^2-12x+28 ?
The solutions to the equation completesquare 2x^2-12x+28 are 2(x-3)^2+10
Find the zeros of completesquare 2x^2-12x+28
The zeros of completesquare 2x^2-12x+28 are 2(x-3)^2+10