Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
(2−x)x−11
Evaluate
x−12−x
Solution
(2−x)x−11
Show Solution
Find the roots
x=2
Evaluate
x−12−x
To find the roots of the expression,set the expression equal to 0
x−12−x=0
Find the domain
More Steps
Evaluate
x−1=0
Move the constant to the right side
x=0+1
Removing 0 doesn't change the value,so remove it from the expression
x=1
x−12−x=0,x=1
Calculate
x−12−x=0
Evaluate the power
(2−x)x−11=0
Rewrite the expression
{2−x=0x−11>0
Evaluate
More Steps
Evaluate
2−x=0
Move the constant to the right-hand side and change its sign
−x=0−2
Removing 0 doesn't change the value,so remove it from the expression
−x=−2
Change the signs on both sides of the equation
x=2
{x=2x−11>0
Evaluate
More Steps
Evaluate
x−11>0
Calculate
1>0
Evaluate
true
{x=2true
Evaluate
x=2
Check if the solution is in the defined range
x=2,x=1
Solution
x=2
Show Solution