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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

- 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}

225 z^{2} + 450 z

(x + 6)^{2} = - 100

x, w = \frac{( x ^{2} - y ^{2} )}{( y ^{2} + z ^{2} )}

x, x^{2} y = (y + 1)^{2}

- x^{2} + 2 x - 3 = 0, - x^{2} + 2 x - 3 = 0

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