Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2−90x5
Evaluate
x2−15x5×6
Solution
x2−90x5
Show Solution
Factor the expression
x2(1−90x3)
Evaluate
x2−15x5×6
Multiply the terms
x2−90x5
Rewrite the expression
x2−x2×90x3
Solution
x2(1−90x3)
Show Solution
Find the roots
x1=0,x2=303300
Alternative Form
x1=0,x2≈0.223144
Evaluate
x2−15x5×6
To find the roots of the expression,set the expression equal to 0
x2−15x5×6=0
Multiply the terms
x2−90x5=0
Factor the expression
x2(1−90x3)=0
Separate the equation into 2 possible cases
x2=01−90x3=0
The only way a power can be 0 is when the base equals 0
x=01−90x3=0
Solve the equation
More Steps
Evaluate
1−90x3=0
Move the constant to the right-hand side and change its sign
−90x3=0−1
Removing 0 doesn't change the value,so remove it from the expression
−90x3=−1
Change the signs on both sides of the equation
90x3=1
Divide both sides
9090x3=901
Divide the numbers
x3=901
Take the 3-th root on both sides of the equation
3x3=3901
Calculate
x=3901
Simplify the root
More Steps
Evaluate
3901
To take a root of a fraction,take the root of the numerator and denominator separately
39031
Simplify the radical expression
3901
Multiply by the Conjugate
390×39023902
Simplify
390×390233300
Multiply the numbers
9033300
Cancel out the common factor 3
303300
x=303300
x=0x=303300
Solution
x1=0,x2=303300
Alternative Form
x1=0,x2≈0.223144
Show Solution