What are the solutions to the equation 3x^2-5x+30=0 ?

The solutions to the equation 3x^2-5x+30=0 are x= 5/6+i(sqrt(335))/6 ,x= 5/6-i(sqrt(335))/6

Find the zeros of 3x^2-5x+30=0

The zeros of 3x^2-5x+30=0 are x= 5/6+i(sqrt(335))/6 ,x= 5/6-i(sqrt(335))/6

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3 x^{2} - 5 x + 30 = 0

x = \frac{5}{6} + i \frac{335}{6}, x = \frac{5}{6} - i \frac{335}{6}

Solution steps

3 x^{2} - 5 x + 30 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 3 \cdot 30}{2 \cdot 3}

Simplify

(- 5)^{2} - 4 \cdot 3 \cdot 30 : 335 i

x_{1, 2} = \frac{- ( - 5 ) \pm 335 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 5 ) + 335 i}{2 \cdot 3}, x_{2} = \frac{- ( - 5 ) - 335 i}{2 \cdot 3}

x = \frac{- ( - 5 ) + 335 i}{2 \cdot 3} : \frac{5}{6} + i \frac{335}{6}

x = \frac{- ( - 5 ) - 335 i}{2 \cdot 3} : \frac{5}{6} - i \frac{335}{6}

The solutions to the quadratic equation are:

x = \frac{5}{6} + i \frac{335}{6}, x = \frac{5}{6} - i \frac{335}{6}

x = 2 x - x^{2}

2 x^{2} - 8 x + 12

2 x^{2} - 8 x + 17

4 x^{2} + 1 = 9

3 x (2 x - 5) = 3

What are the solutions to the equation 3x^2-5x+30=0 ?
The solutions to the equation 3x^2-5x+30=0 are x= 5/6+i(sqrt(335))/6 ,x= 5/6-i(sqrt(335))/6
Find the zeros of 3x^2-5x+30=0
The zeros of 3x^2-5x+30=0 are x= 5/6+i(sqrt(335))/6 ,x= 5/6-i(sqrt(335))/6