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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

0 = 1 - x - x^{2}

x = - \frac{1 + 5}{2}, x = \frac{5 - 1}{2}

Decimal

x = - 1.61803 \dots, x = 0.61803 \dots

Solution steps

0 = 1 - x - x^{2}

Switch sides

1 - x - x^{2} = 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 ) \cdot 1}{2 ( - 1 )}

(- 1)^{2} - 4 (- 1) \cdot 1 = 5

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

Separate the solutions

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

x = \frac{- ( - 1 ) + 5}{2 ( - 1 )} : - \frac{1 + 5}{2}

x = \frac{- ( - 1 ) - 5}{2 ( - 1 )} : \frac{5 - 1}{2}

The solutions to the quadratic equation are:

x = - \frac{1 + 5}{2}, x = \frac{5 - 1}{2}

y, 3 x^{2} y + 48 x = 0

75 x^{2} - 60 x = - 12

(2 m - 1) x^{2} + 6 x + 9 = 0

z^{2} + 49 = 0

x^{2} + 5 x = 23 - x

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