What are the solutions to the equation completesquare 2x^2-16x+38 ?

The solutions to the equation completesquare 2x^2-16x+38 are 2(x-4)^2+6

Find the zeros of completesquare 2x^2-16x+38

The zeros of completesquare 2x^2-16x+38 are 2(x-4)^2+6

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complete the square

2 x^{2} - 16 x + 38

2 (x - 4)^{2} + 6

Solution steps

2 x^{2} - 16 x + 38

Write

2 x^{2} - 16 x + 38

in the form:

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

Factor out

2

2 (x^{2} - 8 x + 19)

2 a = - 8 : a = - 4

Add and subtract

(- 4)^{2}

2 (x^{2} - 8 x + 19 + (- 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} + 19 - (- 4)^{2})

Simplify

2 (x - 4)^{2} + 6

m, 6 m^{2} - 8 m + 1 = 0

6 x^{2} - 5 x - 2 = - 6 x^{2}

4 (x + 7)^{2} = 13

- 4.905 t^{2} + 12 t + 80 = 0

4 x^{2} - 100 = 0

What are the solutions to the equation completesquare 2x^2-16x+38 ?
The solutions to the equation completesquare 2x^2-16x+38 are 2(x-4)^2+6
Find the zeros of completesquare 2x^2-16x+38
The zeros of completesquare 2x^2-16x+38 are 2(x-4)^2+6