What are the solutions to the equation 6x^2-30x+50=0 ?

The solutions to the equation 6x^2-30x+50=0 are x= 5/2+i(5sqrt(3))/6 ,x= 5/2-i(5sqrt(3))/6

Find the zeros of 6x^2-30x+50=0

The zeros of 6x^2-30x+50=0 are x= 5/2+i(5sqrt(3))/6 ,x= 5/2-i(5sqrt(3))/6

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6 x^{2} - 30 x + 50 = 0

x = \frac{5}{2} + i \frac{5 3}{6}, x = \frac{5}{2} - i \frac{5 3}{6}

Solution steps

6 x^{2} - 30 x + 50 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 6 \cdot 50}{2 \cdot 6}

Simplify

(- 30)^{2} - 4 \cdot 6 \cdot 50 : 103 i

x_{1, 2} = \frac{- ( - 30 ) \pm 10 3 i}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 30 ) + 10 3 i}{2 \cdot 6}, x_{2} = \frac{- ( - 30 ) - 10 3 i}{2 \cdot 6}

x = \frac{- ( - 30 ) + 10 3 i}{2 \cdot 6} : \frac{5}{2} + i \frac{5 3}{6}

x = \frac{- ( - 30 ) - 10 3 i}{2 \cdot 6} : \frac{5}{2} - i \frac{5 3}{6}

The solutions to the quadratic equation are:

x = \frac{5}{2} + i \frac{5 3}{6}, x = \frac{5}{2} - i \frac{5 3}{6}

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m^{2} + 4 m + 85 = 0

5 (\frac{1 + 3 y}{2})^{2} + 9 y^{2} = 6

What are the solutions to the equation 6x^2-30x+50=0 ?
The solutions to the equation 6x^2-30x+50=0 are x= 5/2+i(5sqrt(3))/6 ,x= 5/2-i(5sqrt(3))/6
Find the zeros of 6x^2-30x+50=0
The zeros of 6x^2-30x+50=0 are x= 5/2+i(5sqrt(3))/6 ,x= 5/2-i(5sqrt(3))/6