What are the solutions to the equation 6x-1*6x*6x+2=7776 ?

The solutions to the equation 6x-1*6x*6x+2=7776 are x= 1/12-i(sqrt(3455))/4 ,x= 1/12+i(sqrt(3455))/4

Find the zeros of 6x-1*6x*6x+2=7776

The zeros of 6x-1*6x*6x+2=7776 are x= 1/12-i(sqrt(3455))/4 ,x= 1/12+i(sqrt(3455))/4

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6 x - 1 \cdot 6 x \cdot 6 x + 2 = 7776

x = \frac{1}{12} - i \frac{3455}{4}, x = \frac{1}{12} + i \frac{3455}{4}

Solution steps

6 x - 1 \cdot 6 x \cdot 6 x + 2 = 7776

Expand

6 x - 1 \cdot 6 x \cdot 6 x + 2 : 6 x - 36 x^{2} + 2

6 x - 36 x^{2} + 2 = 7776

Move

7776

to the left side

- 36 x^{2} + 6 x - 7774 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 ( - 36 ) ( - 7774 )}{2 ( - 36 )}

Simplify

6^{2} - 4 (- 36) (- 7774) : 183455 i

x_{1, 2} = \frac{- 6 \pm 18 3455 i}{2 ( - 36 )}

Separate the solutions

x_{1} = \frac{- 6 + 18 3455 i}{2 ( - 36 )}, x_{2} = \frac{- 6 - 18 3455 i}{2 ( - 36 )}

x = \frac{- 6 + 18 3455 i}{2 ( - 36 )} : \frac{1}{12} - i \frac{3455}{4}

x = \frac{- 6 - 18 3455 i}{2 ( - 36 )} : \frac{1}{12} + i \frac{3455}{4}

The solutions to the quadratic equation are:

x = \frac{1}{12} - i \frac{3455}{4}, x = \frac{1}{12} + i \frac{3455}{4}

7 + 4 x - x^{2} = 0

2 x^{2} = 28 - x

8 f^{2} + 8 f + 2 = 0

4 x^{2} - 30 x + 72 = 0

- x^{2} + 16 x = 0

What are the solutions to the equation 6x-1*6x*6x+2=7776 ?
The solutions to the equation 6x-1*6x*6x+2=7776 are x= 1/12-i(sqrt(3455))/4 ,x= 1/12+i(sqrt(3455))/4
Find the zeros of 6x-1*6x*6x+2=7776
The zeros of 6x-1*6x*6x+2=7776 are x= 1/12-i(sqrt(3455))/4 ,x= 1/12+i(sqrt(3455))/4