What are the solutions to the equation 100=x(20-x) ?

The solutions to the equation 100=x(20-x) are x=10

Find the zeros of 100=x(20-x)

The zeros of 100=x(20-x) are x=10

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

100 = x (20 - x)

x = 10

Solution steps

100 = x (20 - x)

Expand

x (20 - x) : 20 x - x^{2}

100 = 20 x - x^{2}

Switch sides

20 x - x^{2} = 100

Move

100

to the left side

20 x - x^{2} - 100 = 0

Write in the standard form

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

- x^{2} + 20 x - 100 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 20 \pm 2 0 ^{2} - 4 ( - 1 ) ( - 100 )}{2 ( - 1 )}

2 0^{2} - 4 (- 1) (- 100) = 0

x_{1, 2} = \frac{- 20 \pm 0}{2 ( - 1 )}

x = \frac{- 20}{2 ( - 1 )}

\frac{- 20}{2 ( - 1 )} = 10

x = 10

The solution to the quadratic equation is:

x = 10

0 = (x + 2)^{2} + 1

54 x + 3 x^{2} + 243 = 0

x^{2} \cdot 56 = 25

5 x^{2} - 36 x + 7 = 0

3 x^{2} = 5 mod 7

What are the solutions to the equation 100=x(20-x) ?
The solutions to the equation 100=x(20-x) are x=10
Find the zeros of 100=x(20-x)
The zeros of 100=x(20-x) are x=10