Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2−x
Evaluate
x2−x×1
Solution
x2−x
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Factor the expression
x×(xx−1)
Evaluate
x2−x×1
Any expression multiplied by 1 remains the same
x2−x
Rewrite the expression
x×xx−x
Solution
x×(xx−1)
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Find the roots
x1=0,x2=1
Evaluate
x2−x×1
To find the roots of the expression,set the expression equal to 0
x2−x×1=0
Any expression multiplied by 1 remains the same
x2−x×1=0,x≥0
Calculate
x2−x×1=0
Any expression multiplied by 1 remains the same
x2−x=0
Move the expression to the right-hand side and change its sign
−x=−x2
Divide both sides of the equation by −1
x=x2
Raise both sides of the equation to the 2-th power to eliminate the isolated 2-th root
(x)2=(x2)2
Evaluate the power
x=x4
Move the expression to the left side
x−x4=0
Factor the expression
x(1−x3)=0
Separate the equation into 2 possible cases
x=01−x3=0
Solve the equation
More Steps
Evaluate
1−x3=0
Move the constant to the right-hand side and change its sign
−x3=0−1
Removing 0 doesn't change the value,so remove it from the expression
−x3=−1
Change the signs on both sides of the equation
x3=1
Take the 3-th root on both sides of the equation
3x3=31
Calculate
x=31
Simplify the root
x=1
x=0x=1
Check if the solution is in the defined range
x=0x=1,x≥0
Find the intersection of the solution and the defined range
x=0x=1
Solution
x1=0,x2=1
Show Solution