What are the solutions to the equation completesquare 2x^2-16x+31 ?

The solutions to the equation completesquare 2x^2-16x+31 are 2(x-4)^2-1

Find the zeros of completesquare 2x^2-16x+31

The zeros of completesquare 2x^2-16x+31 are 2(x-4)^2-1

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complete the square

2 x^{2} - 16 x + 31

2 (x - 4)^{2} - 1

Solution steps

2 x^{2} - 16 x + 31

Write

2 x^{2} - 16 x + 31

in the form:

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

Factor out

2

2 (x^{2} - 8 x + \frac{31}{2})

2 a = - 8 : a = - 4

Add and subtract

(- 4)^{2}

2 (x^{2} - 8 x + \frac{31}{2} + (- 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} + \frac{31}{2} - (- 4)^{2})

Simplify

2 (x - 4)^{2} - 1

x^{2} + 18 x + 17 = 0

- 0.3 x^{2} + 150 x + 70 = 0

r^{2} - 3 r - 28 = 0

2 x^{2} - 9 x = - 10

8 x - 3 = - 3 x^{2}

What are the solutions to the equation completesquare 2x^2-16x+31 ?
The solutions to the equation completesquare 2x^2-16x+31 are 2(x-4)^2-1
Find the zeros of completesquare 2x^2-16x+31
The zeros of completesquare 2x^2-16x+31 are 2(x-4)^2-1