Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x−x9−x5
Evaluate
1×x−x2×x3×x4−x5
Any expression multiplied by 1 remains the same
x−x2×x3×x4−x5
Solution
More Steps
Multiply the terms
−x2×x3×x4
Multiply the terms with the same base by adding their exponents
−x2+3+4
Add the numbers
−x9
x−x9−x5
Show Solution
Factor the expression
x(1−x8−x4)
Evaluate
1×x−x2×x3×x4−x5
Any expression multiplied by 1 remains the same
x−x2×x3×x4−x5
Multiply
More Steps
Multiply the terms
x2×x3×x4
Multiply the terms with the same base by adding their exponents
x2+3+4
Add the numbers
x9
x−x9−x5
Rewrite the expression
x−x×x8−x×x4
Solution
x(1−x8−x4)
Show Solution
Find the roots
x1=−24−8+85,x2=0,x3=24−8+85
Alternative Form
x1≈−0.886652,x2=0,x3≈0.886652
Evaluate
1×x−x2×x3×x4−x5
To find the roots of the expression,set the expression equal to 0
1×x−x2×x3×x4−x5=0
Any expression multiplied by 1 remains the same
x−x2×x3×x4−x5=0
Multiply
More Steps
Multiply the terms
x2×x3×x4
Multiply the terms with the same base by adding their exponents
x2+3+4
Add the numbers
x9
x−x9−x5=0
Factor the expression
x(1−x8−x4)=0
Separate the equation into 2 possible cases
x=01−x8−x4=0
Solve the equation
More Steps
Evaluate
1−x8−x4=0
Solve the equation using substitution t=x4
1−t2−t=0
Rewrite in standard form
−t2−t+1=0
Multiply both sides
t2+t−1=0
Substitute a=1,b=1 and c=−1 into the quadratic formula t=2a−b±b2−4ac
t=2−1±12−4(−1)
Simplify the expression
More Steps
Evaluate
12−4(−1)
1 raised to any power equals to 1
1−4(−1)
Simplify
1−(−4)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
1+4
Add the numbers
5
t=2−1±5
Separate the equation into 2 possible cases
t=2−1+5t=2−1−5
Use b−a=−ba=−ba to rewrite the fraction
t=2−1+5t=−21+5
Substitute back
x4=2−1+5x4=−21+5
Solve the equation for x
More Steps
Substitute back
x4=2−1+5
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±42−1+5
Simplify the expression
x=±24−8+85
Separate the equation into 2 possible cases
x=24−8+85x=−24−8+85
x=24−8+85x=−24−8+85x4=−21+5
Solve the equation for x
More Steps
Substitute back
x4=−21+5
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4−21+5
Simplify the expression
x=±242+25+242+25i
Separate the equation into 2 possible cases
x=242+25+242+25ix=−242+25−242+25i
x=24−8+85x=−24−8+85x=242+25+242+25ix=−242+25−242+25i
x=0x=24−8+85x=−24−8+85
Solution
x1=−24−8+85,x2=0,x3=24−8+85
Alternative Form
x1≈−0.886652,x2=0,x3≈0.886652
Show Solution