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

The solutions to the equation x^2+1/3 x+1=0 are x=-1/6+i(sqrt(35))/6 ,x=-1/6-i(sqrt(35))/6

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

The zeros of x^2+1/3 x+1=0 are x=-1/6+i(sqrt(35))/6 ,x=-1/6-i(sqrt(35))/6

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

x = - \frac{1}{6} + i \frac{35}{6}, x = - \frac{1}{6} - i \frac{35}{6}

Solution steps

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

Multiply both sides by

3

3 x^{2} + x + 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 \cdot 3 \cdot 3}{2 \cdot 3}

Simplify

1^{2} - 4 \cdot 3 \cdot 3 : 35 i

x_{1, 2} = \frac{- 1 \pm 35 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 1 + 35 i}{2 \cdot 3}, x_{2} = \frac{- 1 - 35 i}{2 \cdot 3}

x = \frac{- 1 + 35 i}{2 \cdot 3} : - \frac{1}{6} + i \frac{35}{6}

x = \frac{- 1 - 35 i}{2 \cdot 3} : - \frac{1}{6} - i \frac{35}{6}

The solutions to the quadratic equation are:

x = - \frac{1}{6} + i \frac{35}{6}, x = - \frac{1}{6} - i \frac{35}{6}

a^{2} = 9 + 16

p^{2} + 42 = 13 p

150 = 200 - 20 t + 2 t^{2}

m^{2} - 6 m = 7

x^{2} + 8 x - 28 = 0

What are the solutions to the equation x^2+1/3 x+1=0 ?
The solutions to the equation x^2+1/3 x+1=0 are x=-1/6+i(sqrt(35))/6 ,x=-1/6-i(sqrt(35))/6
Find the zeros of x^2+1/3 x+1=0
The zeros of x^2+1/3 x+1=0 are x=-1/6+i(sqrt(35))/6 ,x=-1/6-i(sqrt(35))/6