What are the solutions to the equation completesquare 3x^2+x-1/2 =0 ?

The solutions to the equation completesquare 3x^2+x-1/2 =0 are x=(sqrt(7)-1)/6 ,x=(-sqrt(7)-1)/6

Find the zeros of completesquare 3x^2+x-1/2 =0

The zeros of completesquare 3x^2+x-1/2 =0 are x=(sqrt(7)-1)/6 ,x=(-sqrt(7)-1)/6

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

x = \frac{7 - 1}{6}, x = \frac{- 7 - 1}{6}

Decimal Notation

x = 0.27429 \dots, x = - 0.60762 \dots

Solution steps

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

Move

\frac{1}{2}

to the right side

3 x^{2} + x = \frac{1}{2}

Divide both sides by

3

\frac{3 x ^{2} + x}{3} = \frac{\frac{1}{2}}{3}

x^{2} + \frac{x}{3} = \frac{1}{6}

Rewrite in the form

(x + a)^{2} = b

(x + \frac{1}{6})^{2} = \frac{7}{36}

For

the solutions are

f (x) = a, - a

Solve

x + \frac{1}{6} = \frac{7}{36} : x = \frac{7 - 1}{6}

Solve

x + \frac{1}{6} = - \frac{7}{36} : x = \frac{- 7 - 1}{6}

The solutions to the quadratic equation are:

x = \frac{7 - 1}{6}, x = \frac{- 7 - 1}{6}

x, x^{2} y - 9 y - x^{2} + 3 = 0

37500 X^{2} + 2117.1 X + 8177.4 = 0

k (- 3) = 2 x^{2} - 5 x + 3

112 + 96 t - 16 t^{2} = 112

6 x^{2} + x = 36

What are the solutions to the equation completesquare 3x^2+x-1/2 =0 ?
The solutions to the equation completesquare 3x^2+x-1/2 =0 are x=(sqrt(7)-1)/6 ,x=(-sqrt(7)-1)/6
Find the zeros of completesquare 3x^2+x-1/2 =0
The zeros of completesquare 3x^2+x-1/2 =0 are x=(sqrt(7)-1)/6 ,x=(-sqrt(7)-1)/6