Question
Simplify the expression
Solution
5c3−c
Evaluate
5c2×c−c
Solution
More Steps
Evaluate
5c2×c
Multiply the terms with the same base by adding their exponents
5c2+1
Add the numbers
5c3
5c3−c
Show Solution
Factor the expression
Factor
c(5c2−1)
Evaluate
5c2×c−c
Multiply
More Steps
Evaluate
5c2×c
Multiply the terms with the same base by adding their exponents
5c2+1
Add the numbers
5c3
5c3−c
Rewrite the expression
c×5c2−c
Solution
c(5c2−1)
Show Solution
Find the roots
Find the roots of the algebra expression
c1=−55,c2=0,c3=55
Alternative Form
c1≈−0.447214,c2=0,c3≈0.447214
Evaluate
5c2×c−c
To find the roots of the expression,set the expression equal to 0
5c2×c−c=0
Multiply
More Steps
Multiply the terms
5c2×c
Multiply the terms with the same base by adding their exponents
5c2+1
Add the numbers
5c3
5c3−c=0
Factor the expression
c(5c2−1)=0
Separate the equation into 2 possible cases
c=05c2−1=0
Solve the equation
More Steps
Evaluate
5c2−1=0
Move the constant to the right-hand side and change its sign
5c2=0+1
Removing 0 doesn't change the value,so remove it from the expression
5c2=1
Divide both sides
55c2=51
Divide the numbers
c2=51
Take the root of both sides of the equation and remember to use both positive and negative roots
c=±51
Simplify the expression
More Steps
Evaluate
51
To take a root of a fraction,take the root of the numerator and denominator separately
51
Simplify the radical expression
51
Multiply by the Conjugate
5×55
When a square root of an expression is multiplied by itself,the result is that expression
55
c=±55
Separate the equation into 2 possible cases
c=55c=−55
c=0c=55c=−55
Solution
c1=−55,c2=0,c3=55
Alternative Form
c1≈−0.447214,c2=0,c3≈0.447214
Show Solution