What are the solutions to the equation x-x^2-1=0 ?

The solutions to the equation x-x^2-1=0 are x= 1/2-i(sqrt(3))/2 ,x= 1/2+i(sqrt(3))/2

Find the zeros of x-x^2-1=0

The zeros of x-x^2-1=0 are x= 1/2-i(sqrt(3))/2 ,x= 1/2+i(sqrt(3))/2

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x - x^{2} - 1 = 0

x = \frac{1}{2} - i \frac{3}{2}, x = \frac{1}{2} + i \frac{3}{2}

Solution steps

x - x^{2} - 1 = 0

Write in the standard form

a x^{2} + b x + c = 0

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

Solve with the quadratic formula

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

Simplify

1^{2} - 4 (- 1) (- 1) : 3 i

x_{1, 2} = \frac{- 1 \pm 3 i}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- 1 + 3 i}{2 ( - 1 )}, x_{2} = \frac{- 1 - 3 i}{2 ( - 1 )}

x = \frac{- 1 + 3 i}{2 ( - 1 )} : \frac{1}{2} - i \frac{3}{2}

x = \frac{- 1 - 3 i}{2 ( - 1 )} : \frac{1}{2} + i \frac{3}{2}

The solutions to the quadratic equation are:

x = \frac{1}{2} - i \frac{3}{2}, x = \frac{1}{2} + i \frac{3}{2}

5 p^{2} - p - 44 = 0

16 v^{2} - 40 v + 31 = 6

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

x^{2} + 7 x + 10

x^{2} + 2 x = 0

What are the solutions to the equation x-x^2-1=0 ?
The solutions to the equation x-x^2-1=0 are x= 1/2-i(sqrt(3))/2 ,x= 1/2+i(sqrt(3))/2
Find the zeros of x-x^2-1=0
The zeros of x-x^2-1=0 are x= 1/2-i(sqrt(3))/2 ,x= 1/2+i(sqrt(3))/2