Question
Factor the expression
x(5−73x4)
Evaluate
5x−73x5
Rewrite the expression
x×5−x×73x4
Solution
x(5−73x4)
Show Solution

Find the roots
x1=−7345×733,x2=0,x3=7345×733
Alternative Form
x1≈−0.511578,x2=0,x3≈0.511578
Evaluate
5x−73x5
To find the roots of the expression,set the expression equal to 0
5x−73x5=0
Factor the expression
x(5−73x4)=0
Separate the equation into 2 possible cases
x=05−73x4=0
Solve the equation
More Steps

Evaluate
5−73x4=0
Move the constant to the right-hand side and change its sign
−73x4=0−5
Removing 0 doesn't change the value,so remove it from the expression
−73x4=−5
Change the signs on both sides of the equation
73x4=5
Divide both sides
7373x4=735
Divide the numbers
x4=735
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4735
Simplify the expression
More Steps

Evaluate
4735
To take a root of a fraction,take the root of the numerator and denominator separately
47345
Multiply by the Conjugate
473×473345×4733
The product of roots with the same index is equal to the root of the product
473×473345×733
Multiply the numbers
7345×733
x=±7345×733
Separate the equation into 2 possible cases
x=7345×733x=−7345×733
x=0x=7345×733x=−7345×733
Solution
x1=−7345×733,x2=0,x3=7345×733
Alternative Form
x1≈−0.511578,x2=0,x3≈0.511578
Show Solution
