What are the solutions to the equation 1/10 x(10-x)-1=0 ?

The solutions to the equation 1/10 x(10-x)-1=0 are x=5-sqrt(15),x=5+sqrt(15)

Find the zeros of 1/10 x(10-x)-1=0

The zeros of 1/10 x(10-x)-1=0 are x=5-sqrt(15),x=5+sqrt(15)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{1}{10} x (10 - x) - 1 = 0

x = 5 - 15, x = 5 + 15

Decimal Notation

x = 1.12701 \dots, x = 8.87298 \dots

Solution steps

\frac{1}{10} x (10 - x) - 1 = 0

Multiply both sides by

10

x (10 - x) - 10 = 0

Expand

x (10 - x) - 10 : 10 x - x^{2} - 10

10 x - x^{2} - 10 = 0

Write in the standard form

a x^{2} + b x + c = 0

- x^{2} + 10 x - 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 ( - 1 ) ( - 10 )}{2 ( - 1 )}

1 0^{2} - 4 (- 1) (- 10) = 215

x_{1, 2} = \frac{- 10 \pm 2 15}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- 10 + 2 15}{2 ( - 1 )}, x_{2} = \frac{- 10 - 2 15}{2 ( - 1 )}

x = \frac{- 10 + 2 15}{2 ( - 1 )} : 5 - 15

x = \frac{- 10 - 2 15}{2 ( - 1 )} : 5 + 15

The solutions to the quadratic equation are:

x = 5 - 15, x = 5 + 15

m^{2} + 14 m = 120

s^{2} - 16 = 0

x^{2} - 2 - 15 = 0

x, x^{2} - 5 x y - y = 0

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

What are the solutions to the equation 1/10 x(10-x)-1=0 ?
The solutions to the equation 1/10 x(10-x)-1=0 are x=5-sqrt(15),x=5+sqrt(15)
Find the zeros of 1/10 x(10-x)-1=0
The zeros of 1/10 x(10-x)-1=0 are x=5-sqrt(15),x=5+sqrt(15)