Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x4−144x5+5184x6
Evaluate
(x2−9x3×8)2
Multiply the terms
(x2−72x3)2
Use (a−b)2=a2−2ab+b2 to expand the expression
(x2)2−2x2×72x3+(72x3)2
Solution
x4−144x5+5184x6
Show Solution
Factor the expression
x4(1−72x)2
Evaluate
(x2−9x3×8)2
Multiply the terms
(x2−72x3)2
Factor the expression
More Steps
Evaluate
x2−72x3
Rewrite the expression
x2−x2×72x
Factor out x2 from the expression
x2(1−72x)
(x2(1−72x))2
Solution
x4(1−72x)2
Show Solution
Find the roots
x1=0,x2=721
Alternative Form
x1=0,x2=0.0138˙
Evaluate
(x2−9x3×8)2
To find the roots of the expression,set the expression equal to 0
(x2−9x3×8)2=0
Multiply the terms
(x2−72x3)2=0
The only way a power can be 0 is when the base equals 0
x2−72x3=0
Factor the expression
x2(1−72x)=0
Separate the equation into 2 possible cases
x2=01−72x=0
The only way a power can be 0 is when the base equals 0
x=01−72x=0
Solve the equation
More Steps
Evaluate
1−72x=0
Move the constant to the right-hand side and change its sign
−72x=0−1
Removing 0 doesn't change the value,so remove it from the expression
−72x=−1
Change the signs on both sides of the equation
72x=1
Divide both sides
7272x=721
Divide the numbers
x=721
x=0x=721
Solution
x1=0,x2=721
Alternative Form
x1=0,x2=0.0138˙
Show Solution