Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2−60x5
Evaluate
x2−12x5×5
Solution
x2−60x5
Show Solution
Factor the expression
x2(1−60x3)
Evaluate
x2−12x5×5
Multiply the terms
x2−60x5
Rewrite the expression
x2−x2×60x3
Solution
x2(1−60x3)
Show Solution
Find the roots
x1=0,x2=303450
Alternative Form
x1=0,x2≈0.255436
Evaluate
x2−12x5×5
To find the roots of the expression,set the expression equal to 0
x2−12x5×5=0
Multiply the terms
x2−60x5=0
Factor the expression
x2(1−60x3)=0
Separate the equation into 2 possible cases
x2=01−60x3=0
The only way a power can be 0 is when the base equals 0
x=01−60x3=0
Solve the equation
More Steps
Evaluate
1−60x3=0
Move the constant to the right-hand side and change its sign
−60x3=0−1
Removing 0 doesn't change the value,so remove it from the expression
−60x3=−1
Change the signs on both sides of the equation
60x3=1
Divide both sides
6060x3=601
Divide the numbers
x3=601
Take the 3-th root on both sides of the equation
3x3=3601
Calculate
x=3601
Simplify the root
More Steps
Evaluate
3601
To take a root of a fraction,take the root of the numerator and denominator separately
36031
Simplify the radical expression
3601
Multiply by the Conjugate
360×36023602
Simplify
360×360223450
Multiply the numbers
6023450
Cancel out the common factor 2
303450
x=303450
x=0x=303450
Solution
x1=0,x2=303450
Alternative Form
x1=0,x2≈0.255436
Show Solution