What are the solutions to the equation completesquare 2x^2-16x+24 ?

The solutions to the equation completesquare 2x^2-16x+24 are 2(x-4)^2-8

Find the zeros of completesquare 2x^2-16x+24

The zeros of completesquare 2x^2-16x+24 are 2(x-4)^2-8

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complete the square

2 x^{2} - 16 x + 24

2 (x - 4)^{2} - 8

Solution steps

2 x^{2} - 16 x + 24

Write

2 x^{2} - 16 x + 24

in the form:

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

Factor out

2

2 (x^{2} - 8 x + 12)

2 a = - 8 : a = - 4

Add and subtract

(- 4)^{2}

2 (x^{2} - 8 x + 12 + (- 4)^{2} - (- 4)^{2})

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

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

2 ((x - 4)^{2} + 12 - (- 4)^{2})

Simplify

2 (x - 4)^{2} - 8

2 x^{2} - 3 x - 14 = 0

(x + 3)^{2} + 20 = 0

x^{2} - 12 x + 40 = 13

x, f = 3 x^{2} + 4 y

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

What are the solutions to the equation completesquare 2x^2-16x+24 ?
The solutions to the equation completesquare 2x^2-16x+24 are 2(x-4)^2-8
Find the zeros of completesquare 2x^2-16x+24
The zeros of completesquare 2x^2-16x+24 are 2(x-4)^2-8