What are the solutions to the equation 9x^2+54x+85=0 ?

The solutions to the equation 9x^2+54x+85=0 are x=-3+i 2/3 ,x=-3-i 2/3

Find the zeros of 9x^2+54x+85=0

The zeros of 9x^2+54x+85=0 are x=-3+i 2/3 ,x=-3-i 2/3

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9 x^{2} + 54 x + 85 = 0

x = - 3 + i \frac{2}{3}, x = - 3 - i \frac{2}{3}

Solution steps

9 x^{2} + 54 x + 85 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 54 \pm 5 4 ^{2} - 4 \cdot 9 \cdot 85}{2 \cdot 9}

Simplify

5 4^{2} - 4 \cdot 9 \cdot 85 : 12 i

x_{1, 2} = \frac{- 54 \pm 12 i}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- 54 + 12 i}{2 \cdot 9}, x_{2} = \frac{- 54 - 12 i}{2 \cdot 9}

x = \frac{- 54 + 12 i}{2 \cdot 9} : - 3 + i \frac{2}{3}

x = \frac{- 54 - 12 i}{2 \cdot 9} : - 3 - i \frac{2}{3}

The solutions to the quadratic equation are:

x = - 3 + i \frac{2}{3}, x = - 3 - i \frac{2}{3}

5 x^{2} - 0.8 x = 0

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

3 x^{2} - 6 x + 5

x^{2} = - 4 x - 4

x^{2} - 18 x + 10 = 0

What are the solutions to the equation 9x^2+54x+85=0 ?
The solutions to the equation 9x^2+54x+85=0 are x=-3+i 2/3 ,x=-3-i 2/3
Find the zeros of 9x^2+54x+85=0
The zeros of 9x^2+54x+85=0 are x=-3+i 2/3 ,x=-3-i 2/3