What are the solutions to the equation 3x^2-8x+6=0 ?

The solutions to the equation 3x^2-8x+6=0 are x= 4/3+i(sqrt(2))/3 ,x= 4/3-i(sqrt(2))/3

Find the zeros of 3x^2-8x+6=0

The zeros of 3x^2-8x+6=0 are x= 4/3+i(sqrt(2))/3 ,x= 4/3-i(sqrt(2))/3

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3 x^{2} - 8 x + 6 = 0

x = \frac{4}{3} + i \frac{2}{3}, x = \frac{4}{3} - i \frac{2}{3}

Solution steps

3 x^{2} - 8 x + 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 3 \cdot 6}{2 \cdot 3}

Simplify

(- 8)^{2} - 4 \cdot 3 \cdot 6 : 22 i

x_{1, 2} = \frac{- ( - 8 ) \pm 2 2 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 2 2 i}{2 \cdot 3}, x_{2} = \frac{- ( - 8 ) - 2 2 i}{2 \cdot 3}

x = \frac{- ( - 8 ) + 2 2 i}{2 \cdot 3} : \frac{4}{3} + i \frac{2}{3}

x = \frac{- ( - 8 ) - 2 2 i}{2 \cdot 3} : \frac{4}{3} - i \frac{2}{3}

The solutions to the quadratic equation are:

x = \frac{4}{3} + i \frac{2}{3}, x = \frac{4}{3} - i \frac{2}{3}

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

m = \frac{- 9 - 5}{- 2 - 0}

\frac{4}{6}

31000

(- \frac{1}{2})^{3}

What are the solutions to the equation 3x^2-8x+6=0 ?
The solutions to the equation 3x^2-8x+6=0 are x= 4/3+i(sqrt(2))/3 ,x= 4/3-i(sqrt(2))/3
Find the zeros of 3x^2-8x+6=0
The zeros of 3x^2-8x+6=0 are x= 4/3+i(sqrt(2))/3 ,x= 4/3-i(sqrt(2))/3