What are the solutions to the equation 6x^2-10x+7=0 ?

The solutions to the equation 6x^2-10x+7=0 are x= 5/6+i(sqrt(17))/6 ,x= 5/6-i(sqrt(17))/6

Find the zeros of 6x^2-10x+7=0

The zeros of 6x^2-10x+7=0 are x= 5/6+i(sqrt(17))/6 ,x= 5/6-i(sqrt(17))/6

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6 x^{2} - 10 x + 7 = 0

x = \frac{5}{6} + i \frac{17}{6}, x = \frac{5}{6} - i \frac{17}{6}

Solution steps

6 x^{2} - 10 x + 7 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 6 \cdot 7}{2 \cdot 6}

Simplify

(- 10)^{2} - 4 \cdot 6 \cdot 7 : 217 i

x_{1, 2} = \frac{- ( - 10 ) \pm 2 17 i}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 2 17 i}{2 \cdot 6}, x_{2} = \frac{- ( - 10 ) - 2 17 i}{2 \cdot 6}

x = \frac{- ( - 10 ) + 2 17 i}{2 \cdot 6} : \frac{5}{6} + i \frac{17}{6}

x = \frac{- ( - 10 ) - 2 17 i}{2 \cdot 6} : \frac{5}{6} - i \frac{17}{6}

The solutions to the quadratic equation are:

x = \frac{5}{6} + i \frac{17}{6}, x = \frac{5}{6} - i \frac{17}{6}

(6 x) (x - 10) = 0

G (x) = - 0.1 x^{2} + 6 x - 1600

x, x^{2} - 4 x - 12 = 0

13 x^{2} - 6 x - 12 = 4 x^{2} + 3 x

w^{2} - 22 w + 2 = 0

What are the solutions to the equation 6x^2-10x+7=0 ?
The solutions to the equation 6x^2-10x+7=0 are x= 5/6+i(sqrt(17))/6 ,x= 5/6-i(sqrt(17))/6
Find the zeros of 6x^2-10x+7=0
The zeros of 6x^2-10x+7=0 are x= 5/6+i(sqrt(17))/6 ,x= 5/6-i(sqrt(17))/6