What are the solutions to the equation -4x^2+2x-1=x ?

The solutions to the equation -4x^2+2x-1=x are x= 1/8-i(sqrt(15))/8 ,x= 1/8+i(sqrt(15))/8

Find the zeros of -4x^2+2x-1=x

The zeros of -4x^2+2x-1=x are x= 1/8-i(sqrt(15))/8 ,x= 1/8+i(sqrt(15))/8

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- 4 x^{2} + 2 x - 1 = x

x = \frac{1}{8} - i \frac{15}{8}, x = \frac{1}{8} + i \frac{15}{8}

Solution steps

- 4 x^{2} + 2 x - 1 = x

Move

x

to the left side

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

Solve with the quadratic formula

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

Simplify

1^{2} - 4 (- 4) (- 1) : 15 i

x_{1, 2} = \frac{- 1 \pm 15 i}{2 ( - 4 )}

Separate the solutions

x_{1} = \frac{- 1 + 15 i}{2 ( - 4 )}, x_{2} = \frac{- 1 - 15 i}{2 ( - 4 )}

x = \frac{- 1 + 15 i}{2 ( - 4 )} : \frac{1}{8} - i \frac{15}{8}

x = \frac{- 1 - 15 i}{2 ( - 4 )} : \frac{1}{8} + i \frac{15}{8}

The solutions to the quadratic equation are:

x = \frac{1}{8} - i \frac{15}{8}, x = \frac{1}{8} + i \frac{15}{8}

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

x^{2} - 6 = 138

s^{2} + 3.91 s + 14.846 = 0

2 (x - 3)^{2} + 10 = 24

2 x^{2} - 6 = x

What are the solutions to the equation -4x^2+2x-1=x ?
The solutions to the equation -4x^2+2x-1=x are x= 1/8-i(sqrt(15))/8 ,x= 1/8+i(sqrt(15))/8
Find the zeros of -4x^2+2x-1=x
The zeros of -4x^2+2x-1=x are x= 1/8-i(sqrt(15))/8 ,x= 1/8+i(sqrt(15))/8