Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
n2−34n5
Evaluate
n2−17n5×2
Solution
n2−34n5
Show Solution
Factor the expression
n2(1−34n3)
Evaluate
n2−17n5×2
Multiply the terms
n2−34n5
Rewrite the expression
n2−n2×34n3
Solution
n2(1−34n3)
Show Solution
Find the roots
n1=0,n2=3431156
Alternative Form
n1=0,n2≈0.308679
Evaluate
n2−17n5×2
To find the roots of the expression,set the expression equal to 0
n2−17n5×2=0
Multiply the terms
n2−34n5=0
Factor the expression
n2(1−34n3)=0
Separate the equation into 2 possible cases
n2=01−34n3=0
The only way a power can be 0 is when the base equals 0
n=01−34n3=0
Solve the equation
More Steps
Evaluate
1−34n3=0
Move the constant to the right-hand side and change its sign
−34n3=0−1
Removing 0 doesn't change the value,so remove it from the expression
−34n3=−1
Change the signs on both sides of the equation
34n3=1
Divide both sides
3434n3=341
Divide the numbers
n3=341
Take the 3-th root on both sides of the equation
3n3=3341
Calculate
n=3341
Simplify the root
More Steps
Evaluate
3341
To take a root of a fraction,take the root of the numerator and denominator separately
33431
Simplify the radical expression
3341
Multiply by the Conjugate
334×33423342
Simplify
334×334231156
Multiply the numbers
3431156
n=3431156
n=0n=3431156
Solution
n1=0,n2=3431156
Alternative Form
n1=0,n2≈0.308679
Show Solution