What are the solutions to the equation -4x^2-2x-1=0 ?

The solutions to the equation -4x^2-2x-1=0 are x=-1/4-i(sqrt(3))/4 ,x=-1/4+i(sqrt(3))/4

Find the zeros of -4x^2-2x-1=0

The zeros of -4x^2-2x-1=0 are x=-1/4-i(sqrt(3))/4 ,x=-1/4+i(sqrt(3))/4

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

x = - \frac{1}{4} - i \frac{3}{4}, x = - \frac{1}{4} + i \frac{3}{4}

Solution steps

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

Solve with the quadratic formula

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

Simplify

(- 2)^{2} - 4 (- 4) (- 1) : 23 i

x_{1, 2} = \frac{- ( - 2 ) \pm 2 3 i}{2 ( - 4 )}

Separate the solutions

x_{1} = \frac{- ( - 2 ) + 2 3 i}{2 ( - 4 )}, x_{2} = \frac{- ( - 2 ) - 2 3 i}{2 ( - 4 )}

x = \frac{- ( - 2 ) + 2 3 i}{2 ( - 4 )} : - \frac{1}{4} - i \frac{3}{4}

x = \frac{- ( - 2 ) - 2 3 i}{2 ( - 4 )} : - \frac{1}{4} + i \frac{3}{4}

The solutions to the quadratic equation are:

x = - \frac{1}{4} - i \frac{3}{4}, x = - \frac{1}{4} + i \frac{3}{4}

y, \frac{y ^{2}}{a ^{2}} + \frac{x ^{2}}{b ^{2}} = 1

1.163 x^{2} - 4.44 x = 0

x, x^{2} + 5.35 x + 9.125 = 0

x^{2} - 4 x + 25 = 0

x^{2} + 3 = - 2 x

What are the solutions to the equation -4x^2-2x-1=0 ?
The solutions to the equation -4x^2-2x-1=0 are x=-1/4-i(sqrt(3))/4 ,x=-1/4+i(sqrt(3))/4
Find the zeros of -4x^2-2x-1=0
The zeros of -4x^2-2x-1=0 are x=-1/4-i(sqrt(3))/4 ,x=-1/4+i(sqrt(3))/4