What are the solutions to the equation completesquare 6x^2+5x ?

The solutions to the equation completesquare 6x^2+5x are 6(x+5/12)^2-25/24

Find the zeros of completesquare 6x^2+5x

The zeros of completesquare 6x^2+5x are 6(x+5/12)^2-25/24

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complete the square

6 x^{2} + 5 x

6 (x + \frac{5}{12})^{2} - \frac{25}{24}

Solution steps

6 x^{2} + 5 x

Write

6 x^{2} + 5 x

in the form:

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

Factor out

6

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

2 a = \frac{5}{6} : a = \frac{5}{12}

Add and subtract

(\frac{5}{12})^{2}

6 (x^{2} + \frac{5 x}{6} + (\frac{5}{12})^{2} - (\frac{5}{12})^{2})

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

x^{2} + \frac{5}{6} x + (\frac{5}{12})^{2} = (x + \frac{5}{12})^{2}

6 ((x + \frac{5}{12})^{2} - (\frac{5}{12})^{2})

Simplify

6 (x + \frac{5}{12})^{2} - \frac{25}{24}

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

(x + 7) (x - 5) = 0

(x - 1) (x - 2) + x (x - 2) + x (x - 1) = 0

- 3 n^{2} + 15 n + 18 = 0

- 3 x^{2} + 12 x - 1 = 0

What are the solutions to the equation completesquare 6x^2+5x ?
The solutions to the equation completesquare 6x^2+5x are 6(x+5/12)^2-25/24
Find the zeros of completesquare 6x^2+5x
The zeros of completesquare 6x^2+5x are 6(x+5/12)^2-25/24