What are the solutions to the equation x^2+5/6 x-1/6 =0 ?

The solutions to the equation x^2+5/6 x-1/6 =0 are x= 1/6 ,x=-1

Find the zeros of x^2+5/6 x-1/6 =0

The zeros of x^2+5/6 x-1/6 =0 are x= 1/6 ,x=-1

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x^{2} + \frac{5}{6} x - \frac{1}{6} = 0

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

Solution steps

x^{2} + \frac{5}{6} x - \frac{1}{6} = 0

Multiply both sides by

6

6 x^{2} + 5 x - 1 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 6 ( - 1 )}{2 \cdot 6}

5^{2} - 4 \cdot 6 (- 1) = 7

x_{1, 2} = \frac{- 5 \pm 7}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- 5 + 7}{2 \cdot 6}, x_{2} = \frac{- 5 - 7}{2 \cdot 6}

x = \frac{- 5 + 7}{2 \cdot 6} : \frac{1}{6}

x = \frac{- 5 - 7}{2 \cdot 6} : - 1

The solutions to the quadratic equation are:

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

3 i^{5} - i^{4} + 7 i^{3} - 10 i^{2} - 9

- 20 + 8 x > 28

(∣ x ∣ + 2) (6 - 3 x) = 0

6 x^{2} - 8 x - 1 = 0

What are the solutions to the equation x^2+5/6 x-1/6 =0 ?
The solutions to the equation x^2+5/6 x-1/6 =0 are x= 1/6 ,x=-1
Find the zeros of x^2+5/6 x-1/6 =0
The zeros of x^2+5/6 x-1/6 =0 are x= 1/6 ,x=-1