What are the solutions to the equation completesquare 3x^2+5x-2 ?

The solutions to the equation completesquare 3x^2+5x-2 are 3(x+5/6)^2-49/12

Find the zeros of completesquare 3x^2+5x-2

The zeros of completesquare 3x^2+5x-2 are 3(x+5/6)^2-49/12

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complete the square

3 x^{2} + 5 x - 2

3 (x + \frac{5}{6})^{2} - \frac{49}{12}

Solution steps

3 x^{2} + 5 x - 2

Write

3 x^{2} + 5 x - 2

in the form:

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

Factor out

3

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

2 a = \frac{5}{3} : a = \frac{5}{6}

Add and subtract

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

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

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

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

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

Simplify

3 (x + \frac{5}{6})^{2} - \frac{49}{12}

- t^{2} - 1 = 0

1 = 2 π \cdot r^{2}

20 x^{2} = 10 x

d^{2} + (- 5) = - 2

u^{2} = - 5

What are the solutions to the equation completesquare 3x^2+5x-2 ?
The solutions to the equation completesquare 3x^2+5x-2 are 3(x+5/6)^2-49/12
Find the zeros of completesquare 3x^2+5x-2
The zeros of completesquare 3x^2+5x-2 are 3(x+5/6)^2-49/12