What are the solutions to the equation completesquare 2x^2-8x+17 ?

The solutions to the equation completesquare 2x^2-8x+17 are 2(x-2)^2+9

Find the zeros of completesquare 2x^2-8x+17

The zeros of completesquare 2x^2-8x+17 are 2(x-2)^2+9

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complete the square

2 x^{2} - 8 x + 17

2 (x - 2)^{2} + 9

Solution steps

2 x^{2} - 8 x + 17

Write

2 x^{2} - 8 x + 17

in the form:

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

Factor out

2

2 (x^{2} - 4 x + \frac{17}{2})

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

2 (x^{2} - 4 x + \frac{17}{2} + (- 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} + \frac{17}{2} - (- 2)^{2})

Simplify

2 (x - 2)^{2} + 9

4 x^{2} + 1 = 9

3 x (2 x - 5) = 3

2 s^{2} - 98 = 0

6 x^{2} + 23 x - 4 = 0

67 = \frac{v ^{2}}{5.7}

What are the solutions to the equation completesquare 2x^2-8x+17 ?
The solutions to the equation completesquare 2x^2-8x+17 are 2(x-2)^2+9
Find the zeros of completesquare 2x^2-8x+17
The zeros of completesquare 2x^2-8x+17 are 2(x-2)^2+9