Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
9n4−5n
Evaluate
n4×9−5n
Solution
9n4−5n
Show Solution
Factor the expression
n(9n3−5)
Evaluate
n4×9−5n
Use the commutative property to reorder the terms
9n4−5n
Rewrite the expression
n×9n3−n×5
Solution
n(9n3−5)
Show Solution
Find the roots
n1=0,n2=3315
Alternative Form
n1=0,n2≈0.822071
Evaluate
n4×9−5n
To find the roots of the expression,set the expression equal to 0
n4×9−5n=0
Use the commutative property to reorder the terms
9n4−5n=0
Factor the expression
n(9n3−5)=0
Separate the equation into 2 possible cases
n=09n3−5=0
Solve the equation
More Steps
Evaluate
9n3−5=0
Move the constant to the right-hand side and change its sign
9n3=0+5
Removing 0 doesn't change the value,so remove it from the expression
9n3=5
Divide both sides
99n3=95
Divide the numbers
n3=95
Take the 3-th root on both sides of the equation
3n3=395
Calculate
n=395
Simplify the root
More Steps
Evaluate
395
To take a root of a fraction,take the root of the numerator and denominator separately
3935
Multiply by the Conjugate
39×39235×392
Simplify
39×39235×333
Multiply the numbers
39×3923315
Multiply the numbers
323315
Reduce the fraction
3315
n=3315
n=0n=3315
Solution
n1=0,n2=3315
Alternative Form
n1=0,n2≈0.822071
Show Solution