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

The solutions to the equation 6x^2-x=x-6 are x= 1/6+i(sqrt(35))/6 ,x= 1/6-i(sqrt(35))/6

Find the zeros of 6x^2-x=x-6

The zeros of 6x^2-x=x-6 are x= 1/6+i(sqrt(35))/6 ,x= 1/6-i(sqrt(35))/6

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6 x^{2} - x = x - 6

x = \frac{1}{6} + i \frac{35}{6}, x = \frac{1}{6} - i \frac{35}{6}

Solution steps

6 x^{2} - x = x - 6

Move

6

to the left side

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

Move

x

to the left side

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

Solve with the quadratic formula

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

Simplify

(- 2)^{2} - 4 \cdot 6 \cdot 6 : 235 i

x_{1, 2} = \frac{- ( - 2 ) \pm 2 35 i}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 2 ) + 2 35 i}{2 \cdot 6}, x_{2} = \frac{- ( - 2 ) - 2 35 i}{2 \cdot 6}

x = \frac{- ( - 2 ) + 2 35 i}{2 \cdot 6} : \frac{1}{6} + i \frac{35}{6}

x = \frac{- ( - 2 ) - 2 35 i}{2 \cdot 6} : \frac{1}{6} - i \frac{35}{6}

The solutions to the quadratic equation are:

x = \frac{1}{6} + i \frac{35}{6}, x = \frac{1}{6} - i \frac{35}{6}

- 40 + 10 a = - 70

4 y = 2 (y + 1)

- 17 + 5 x = 5 (x - 5) + 8

- 6 x + 7 (3 x - 6) = - 177

2 y^{2} - 11 y - 21

What are the solutions to the equation 6x^2-x=x-6 ?
The solutions to the equation 6x^2-x=x-6 are x= 1/6+i(sqrt(35))/6 ,x= 1/6-i(sqrt(35))/6
Find the zeros of 6x^2-x=x-6
The zeros of 6x^2-x=x-6 are x= 1/6+i(sqrt(35))/6 ,x= 1/6-i(sqrt(35))/6