Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
xx4−9x2−x3−9−3x
Evaluate
x3−9x−x2−x9−3
Reduce fractions to a common denominator
xx3×x−x9x×x−xx2×x−x9−x3x
Write all numerators above the common denominator
xx3×x−9x×x−x2×x−9−3x
Multiply the terms
More Steps
Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
xx4−9x×x−x2×x−9−3x
Multiply the terms
xx4−9x2−x2×x−9−3x
Solution
More Steps
Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
xx4−9x2−x3−9−3x
Show Solution
Find the excluded values
x=0
Evaluate
x3−9x−x2−x9−3
Solution
x=0
Show Solution
Find the roots
x1≈−2.573025,x2≈3.768036
Evaluate
x3−9x−x2−x9−3
To find the roots of the expression,set the expression equal to 0
x3−9x−x2−x9−3=0
Find the domain
x3−9x−x2−x9−3=0,x=0
Calculate
x3−9x−x2−x9−3=0
Subtract the terms
More Steps
Simplify
x3−9x−x2−x9
Reduce fractions to a common denominator
xx3×x−x9x×x−xx2×x−x9
Write all numerators above the common denominator
xx3×x−9x×x−x2×x−9
Multiply the terms
More Steps
Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
xx4−9x×x−x2×x−9
Multiply the terms
xx4−9x2−x2×x−9
Multiply the terms
More Steps
Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
xx4−9x2−x3−9
xx4−9x2−x3−9−3=0
Subtract the terms
More Steps
Simplify
xx4−9x2−x3−9−3
Reduce fractions to a common denominator
xx4−9x2−x3−9−x3x
Write all numerators above the common denominator
xx4−9x2−x3−9−3x
xx4−9x2−x3−9−3x=0
Cross multiply
x4−9x2−x3−9−3x=x×0
Simplify the equation
x4−9x2−x3−9−3x=0
Calculate
x≈3.768036x≈−2.573025
Check if the solution is in the defined range
x≈3.768036x≈−2.573025,x=0
Find the intersection of the solution and the defined range
x≈3.768036x≈−2.573025
Solution
x1≈−2.573025,x2≈3.768036
Show Solution