What are the solutions to the equation -4x^2-6x-1=0 ?

The solutions to the equation -4x^2-6x-1=0 are x=-(3+sqrt(5))/4 ,x=-(3-sqrt(5))/4

Find the zeros of -4x^2-6x-1=0

The zeros of -4x^2-6x-1=0 are x=-(3+sqrt(5))/4 ,x=-(3-sqrt(5))/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

- 4 x^{2} - 6 x - 1 = 0

x = - \frac{3 + 5}{4}, x = - \frac{3 - 5}{4}

Decimal Notation

x = - 1.30901 \dots, x = - 0.19098 \dots

Solution steps

- 4 x^{2} - 6 x - 1 = 0

Solve with the quadratic formula

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

(- 6)^{2} - 4 (- 4) (- 1) = 25

x_{1, 2} = \frac{- ( - 6 ) \pm 2 5}{2 ( - 4 )}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 2 5}{2 ( - 4 )}, x_{2} = \frac{- ( - 6 ) - 2 5}{2 ( - 4 )}

x = \frac{- ( - 6 ) + 2 5}{2 ( - 4 )} : - \frac{3 + 5}{4}

x = \frac{- ( - 6 ) - 2 5}{2 ( - 4 )} : - \frac{3 - 5}{4}

The solutions to the quadratic equation are:

x = - \frac{3 + 5}{4}, x = - \frac{3 - 5}{4}

(2 x - 3)^{2} = 8

\frac{2}{3} y - 6 = 6

\frac{x - 3}{2} \geq 7

3 (- 10 - 10 f) < - 5 (- 6 + 12 f)

\frac{9 x - 5}{2} - \frac{3 - 2 x}{3} - \frac{8 x - 2}{4} = 2

What are the solutions to the equation -4x^2-6x-1=0 ?
The solutions to the equation -4x^2-6x-1=0 are x=-(3+sqrt(5))/4 ,x=-(3-sqrt(5))/4
Find the zeros of -4x^2-6x-1=0
The zeros of -4x^2-6x-1=0 are x=-(3+sqrt(5))/4 ,x=-(3-sqrt(5))/4