Is y=x(2-x) a linear equation

Given:

y=x(2-x)

Find:

weather it is linear equation or not.

Solution:

"Linear" means that the graph or drawing of the function is a straight line. Any equation with a single independent variable (often an 'x') that is not exponential (x², x³..) is linear.

So,

Solving the given equation,

→ y = x (2 - x)

→ y = 2x - x²

→ x² - 2x + y = 0

So, it is not a linear equation.

Additional Information:A linear equation is any equation that can be written in the form. ax+b=0. where a and b are real numbers and x is a variable. This form is sometimes called the standard form of a linear equation. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction.

I hope it will help you.

Regards.

no

Step-by-step explanation:

Painter 1 : Painter 2 : Total
2 : 3 : 2+3
2 : 3 : 5

5 parts = $2000
1 part = $2000 ÷ 5
1 part = $400

2 parts = $400 x 2 
2 parts = $800

3 parts = $400 x 3
3parts = $1200

Painter 1: Painter2
$800 : $1200