What are the solutions to the equation completesquare 2x^2-4x+11 ?

The solutions to the equation completesquare 2x^2-4x+11 are 2(x-1)^2+9

Find the zeros of completesquare 2x^2-4x+11

The zeros of completesquare 2x^2-4x+11 are 2(x-1)^2+9

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complete the square

2 x^{2} - 4 x + 11

2 (x - 1)^{2} + 9

Solution steps

2 x^{2} - 4 x + 11

Write

2 x^{2} - 4 x + 11

in the form:

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

Factor out

2

2 (x^{2} - 2 x + \frac{11}{2})

2 a = - 2 : a = - 1

Add and subtract

(- 1)^{2}

2 (x^{2} - 2 x + \frac{11}{2} + (- 1)^{2} - (- 1)^{2})

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

x^{2} - 2 x + (- 1)^{2} = (x - 1)^{2}

2 ((x - 1)^{2} + \frac{11}{2} - (- 1)^{2})

Simplify

2 (x - 1)^{2} + 9

9 x^{2} = 360

x, x^{2} y - 9 y - x = 0

0.5 x^{2} + x - 1.5 = 0

x, x^{2} + y^{2} = 11 x y

2 x^{2} + 7 x - 15

What are the solutions to the equation completesquare 2x^2-4x+11 ?
The solutions to the equation completesquare 2x^2-4x+11 are 2(x-1)^2+9
Find the zeros of completesquare 2x^2-4x+11
The zeros of completesquare 2x^2-4x+11 are 2(x-1)^2+9