Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
36c4−3240
Evaluate
36c4−90
Reduce fractions to a common denominator
36c4−3690×36
Write all numerators above the common denominator
36c4−90×36
Solution
36c4−3240
Show Solution
Find the roots
c1=−3440,c2=3440
Alternative Form
c1≈−7.544601,c2≈7.544601
Evaluate
36c4−90
To find the roots of the expression,set the expression equal to 0
36c4−90=0
Subtract the terms
More Steps
Simplify
36c4−90
Reduce fractions to a common denominator
36c4−3690×36
Write all numerators above the common denominator
36c4−90×36
Multiply the numbers
36c4−3240
36c4−3240=0
Simplify
c4−3240=0
Move the constant to the right side
c4=3240
Take the root of both sides of the equation and remember to use both positive and negative roots
c=±43240
Simplify the expression
More Steps
Evaluate
43240
Write the expression as a product where the root of one of the factors can be evaluated
481×40
Write the number in exponential form with the base of 3
434×40
The root of a product is equal to the product of the roots of each factor
434×440
Reduce the index of the radical and exponent with 4
3440
c=±3440
Separate the equation into 2 possible cases
c=3440c=−3440
Solution
c1=−3440,c2=3440
Alternative Form
c1≈−7.544601,c2≈7.544601
Show Solution