What are the solutions to the equation x(x-2)=-1 ?

The solutions to the equation x(x-2)=-1 are x=1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x(x-2)=-1

x (x - 2) = - 1

x = 1

Solution steps

x (x - 2) = - 1

Expand

x (x - 2) : x^{2} - 2 x

x^{2} - 2 x = - 1

Move

1

to the left side

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

Solve with the quadratic formula

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

(- 2)^{2} - 4 \cdot 1 \cdot 1 = 0

x_{1, 2} = \frac{- ( - 2 ) \pm 0}{2 \cdot 1}

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

\frac{- ( - 2 )}{2 \cdot 1} = 1

x = 1

The solution to the quadratic equation is:

x = 1

16 x^{2} + 25 = - 40 x

x^{2} - 11 x - 2 = 0

r^{2} - 49 = 0

4 x^{2} + 236 = 64 x

x^{2} + 14 = 30

What are the solutions to the equation x(x-2)=-1 ?
The solutions to the equation x(x-2)=-1 are x=1
Find the zeros of x(x-2)=-1
The zeros of x(x-2)=-1 are x=1