What are the solutions to the equation completesquare 6y^2+4y ?

The solutions to the equation completesquare 6y^2+4y are 6(y+1/3)^2-2/3

Find the zeros of completesquare 6y^2+4y

The zeros of completesquare 6y^2+4y are 6(y+1/3)^2-2/3

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complete the square

6 y^{2} + 4 y

6 (y + \frac{1}{3})^{2} - \frac{2}{3}

Solution steps

6 y^{2} + 4 y

Write

6 y^{2} + 4 y

in the form:

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

Factor out

6

6 (y^{2} + \frac{2 y}{3})

2 a = \frac{2}{3} : a = \frac{1}{3}

Add and subtract

(\frac{1}{3})^{2}

6 (y^{2} + \frac{2 y}{3} + (\frac{1}{3})^{2} - (\frac{1}{3})^{2})

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

y^{2} + \frac{2}{3} y + (\frac{1}{3})^{2} = (y + \frac{1}{3})^{2}

6 ((y + \frac{1}{3})^{2} - (\frac{1}{3})^{2})

Simplify

6 (y + \frac{1}{3})^{2} - \frac{2}{3}

4 x + x^{2} = 5

(x - 4) (x + 2) = 27

y^{2} - y - 20 = 0

- 3 x^{2} = 24 x + 48

x^{2} + 10 x + 4

What are the solutions to the equation completesquare 6y^2+4y ?
The solutions to the equation completesquare 6y^2+4y are 6(y+1/3)^2-2/3
Find the zeros of completesquare 6y^2+4y
The zeros of completesquare 6y^2+4y are 6(y+1/3)^2-2/3