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

The solutions to the equation 6x^2-8x+6=0 are x= 2/3+i(sqrt(5))/3 ,x= 2/3-i(sqrt(5))/3

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

The zeros of 6x^2-8x+6=0 are x= 2/3+i(sqrt(5))/3 ,x= 2/3-i(sqrt(5))/3

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

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

Solution steps

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

Solve with the quadratic formula

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

Simplify

(- 8)^{2} - 4 \cdot 6 \cdot 6 : 45 i

x_{1, 2} = \frac{- ( - 8 ) \pm 4 5 i}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 4 5 i}{2 \cdot 6}, x_{2} = \frac{- ( - 8 ) - 4 5 i}{2 \cdot 6}

x = \frac{- ( - 8 ) + 4 5 i}{2 \cdot 6} : \frac{2}{3} + i \frac{5}{3}

x = \frac{- ( - 8 ) - 4 5 i}{2 \cdot 6} : \frac{2}{3} - i \frac{5}{3}

The solutions to the quadratic equation are:

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

y, y^{2} - x^{2} = 0

6 x = 2 x^{2} - 7 x + 14

x, x y^{4} + x^{2} y = x + 3 y

x^{2} + 29.4 x - 756.3 = 0

30 x^{2} - 9 x - 12 = 0

What are the solutions to the equation 6x^2-8x+6=0 ?
The solutions to the equation 6x^2-8x+6=0 are x= 2/3+i(sqrt(5))/3 ,x= 2/3-i(sqrt(5))/3
Find the zeros of 6x^2-8x+6=0
The zeros of 6x^2-8x+6=0 are x= 2/3+i(sqrt(5))/3 ,x= 2/3-i(sqrt(5))/3