What are the solutions to the equation completesquare 6x^2+8x ?

The solutions to the equation completesquare 6x^2+8x are 6(x+2/3)^2-8/3

Find the zeros of completesquare 6x^2+8x

The zeros of completesquare 6x^2+8x are 6(x+2/3)^2-8/3

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complete the square

6 x^{2} + 8 x

6 (x + \frac{2}{3})^{2} - \frac{8}{3}

Solution steps

6 x^{2} + 8 x

Write

6 x^{2} + 8 x

in the form:

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

Factor out

6

6 (x^{2} + \frac{4 x}{3})

2 a = \frac{4}{3} : a = \frac{2}{3}

Add and subtract

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

6 (x^{2} + \frac{4 x}{3} + (\frac{2}{3})^{2} - (\frac{2}{3})^{2})

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

x^{2} + \frac{4}{3} x + (\frac{2}{3})^{2} = (x + \frac{2}{3})^{2}

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

Simplify

6 (x + \frac{2}{3})^{2} - \frac{8}{3}

x^{2} + x - \frac{1}{4} = 0

r^{2} + r + 6 = 0

y, (x - 3)^{2} + (y + 2)^{2} = 4

(2 s - 1)^{2} = 225

a (b^{2} - 4) = n

What are the solutions to the equation completesquare 6x^2+8x ?
The solutions to the equation completesquare 6x^2+8x are 6(x+2/3)^2-8/3
Find the zeros of completesquare 6x^2+8x
The zeros of completesquare 6x^2+8x are 6(x+2/3)^2-8/3