What are the solutions to the equation completesquare 2x^2-4x+13 ?

The solutions to the equation completesquare 2x^2-4x+13 are 2(x-1)^2+11

Find the zeros of completesquare 2x^2-4x+13

The zeros of completesquare 2x^2-4x+13 are 2(x-1)^2+11

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complete the square

2 x^{2} - 4 x + 13

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

Solution steps

2 x^{2} - 4 x + 13

Write

2 x^{2} - 4 x + 13

in the form:

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

Factor out

2

2 (x^{2} - 2 x + \frac{13}{2})

2 a = - 2 : a = - 1

Add and subtract

(- 1)^{2}

2 (x^{2} - 2 x + \frac{13}{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{13}{2} - (- 1)^{2})

Simplify

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

(3 x - 1)^{2} + x (x - 3) = - 1

5 t^{2} + 3 t - 2 = 0

25 x^{2} + 30 x + 12

t, h = v t - g t^{2}

9 x^{2} - 12 x - 14 = 0

What are the solutions to the equation completesquare 2x^2-4x+13 ?
The solutions to the equation completesquare 2x^2-4x+13 are 2(x-1)^2+11
Find the zeros of completesquare 2x^2-4x+13
The zeros of completesquare 2x^2-4x+13 are 2(x-1)^2+11