Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2−2x
Evaluate
x2−1(x25−2x33)
Divide the terms
x2−1(x25−2x1)
Calculate
x2−1(x25−2x)
Use b−a=−ba=−ba to rewrite the fraction
x−21(x25−2x)
Express with a positive exponent using a−n=an1
x211×(x25−2x)
Rewrite the expression
x211×x21(x2−2x21)
Cancel out the common factor x21
1×(x2−2x21)
Multiply the terms
x2−2x21
Solution
x2−2x
Show Solution
Factor the expression
x×(xx−2)
Evaluate
x2−1(x25−2x33)
Evaluate
x2−2x21
Rewrite the expression
x21×x23−x21×2
Factor out x21 from the expression
x21(x23−2)
Solution
x×(xx−2)
Show Solution
Find the roots
x=34
Alternative Form
x≈1.587401
Evaluate
x2−1(x25−2x33)
To find the roots of the expression,set the expression equal to 0
x2−1(x25−2x33)=0
Find the domain
x2−1(x25−2x33)=0,x>0
Calculate
x2−1(x25−2x33)=0
Divide the terms
More Steps
Evaluate
33
Reduce the numbers
11
Calculate
1
x2−1(x25−2x1)=0
Evaluate the power
x2−1(x25−2x)=0
Use b−a=−ba=−ba to rewrite the fraction
x−21(x25−2x)=0
Separate the equation into 2 possible cases
x−21=0x25−2x=0
Solve the equation
More Steps
Evaluate
x−21=0
Rewrite the expression
x211=0
Cross multiply
1=x21×0
Simplify the equation
1=0
The statement is false for any value of x
x∈∅
x∈∅x25−2x=0
Solve the equation
More Steps
Evaluate
x25−2x=0
Factor the expression
x(x23−2)=0
Separate the equation into 2 possible cases
x=0x23−2=0
Solve the equation
More Steps
Evaluate
x23−2=0
Move the constant to the right-hand side and change its sign
x23=0+2
Removing 0 doesn't change the value,so remove it from the expression
x23=2
Raise both sides of the equation to the reciprocal of the exponent
(x23)32=232
Evaluate the power
x=232
Simplify
x=34
x=0x=34
x∈∅x=0x=34
Find the union
x=0x=34
Check if the solution is in the defined range
x=0x=34,x>0
Solution
x=34
Alternative Form
x≈1.587401
Show Solution