What are the solutions to the equation completesquare 2x^2-12x+5 ?

The solutions to the equation completesquare 2x^2-12x+5 are 2(x-3)^2-13

Find the zeros of completesquare 2x^2-12x+5

The zeros of completesquare 2x^2-12x+5 are 2(x-3)^2-13

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complete the square

2 x^{2} - 12 x + 5

2 (x - 3)^{2} - 13

Solution steps

2 x^{2} - 12 x + 5

Write

2 x^{2} - 12 x + 5

in the form:

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

Factor out

2

2 (x^{2} - 6 x + \frac{5}{2})

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

2 (x^{2} - 6 x + \frac{5}{2} + (- 3)^{2} - (- 3)^{2})

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

x^{2} - 6 x + (- 3)^{2} = (x - 3)^{2}

2 ((x - 3)^{2} + \frac{5}{2} - (- 3)^{2})

Simplify

2 (x - 3)^{2} - 13

3 x^{2} - 60 x + 279 = 0

3 v^{2} + 2 v - 8 = 0

x^{2} + 11 x = - 18

x^{2} - 18 x - 4 = 0

4 (\frac{5 - 3 y}{2})^{2} - 3 (\frac{5 - 3 y}{2}) y + 9 y^{2} = 15

What are the solutions to the equation completesquare 2x^2-12x+5 ?
The solutions to the equation completesquare 2x^2-12x+5 are 2(x-3)^2-13
Find the zeros of completesquare 2x^2-12x+5
The zeros of completesquare 2x^2-12x+5 are 2(x-3)^2-13