Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
xx6−168−4x2
Evaluate
(x4×1×x2−168)÷x−4x×1
Multiply the terms
More Steps
Multiply the terms
x4×1×x2
Rewrite the expression
x4×x2
Use the product rule an×am=an+m to simplify the expression
x4+2
Add the numbers
x6
(x6−168)÷x−4x×1
Rewrite the expression
xx6−168−4x×1
Multiply the terms
xx6−168−4x
Reduce fractions to a common denominator
xx6−168−x4x×x
Write all numerators above the common denominator
xx6−168−4x×x
Solution
xx6−168−4x2
Show Solution
Find the excluded values
x=0
Evaluate
(x4×1×x2−168)÷x−4x×1
Solution
x=0
Show Solution
Find the roots
x1≈−2.399863,x2≈2.399863
Evaluate
(x4×1×x2−168)÷x−4x×1
To find the roots of the expression,set the expression equal to 0
(x4×1×x2−168)÷x−4x×1=0
Find the domain
(x4×1×x2−168)÷x−4x×1=0,x=0
Calculate
(x4×1×x2−168)÷x−4x×1=0
Multiply the terms
More Steps
Multiply the terms
x4×1×x2
Rewrite the expression
x4×x2
Use the product rule an×am=an+m to simplify the expression
x4+2
Add the numbers
x6
(x6−168)÷x−4x×1=0
Rewrite the expression
xx6−168−4x×1=0
Multiply the terms
xx6−168−4x=0
Subtract the terms
More Steps
Simplify
xx6−168−4x
Reduce fractions to a common denominator
xx6−168−x4x×x
Write all numerators above the common denominator
xx6−168−4x×x
Multiply the terms
xx6−168−4x2
xx6−168−4x2=0
Cross multiply
x6−168−4x2=x×0
Simplify the equation
x6−168−4x2=0
Solve the equation using substitution t=x2
t3−168−4t=0
Calculate
t≈5.759341
Substitute back
x2≈5.759341
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±5.759341
Simplify the expression
x=±2.399863
Separate the equation into 2 possible cases
x≈2.399863x≈−2.399863
Check if the solution is in the defined range
x≈2.399863x≈−2.399863,x=0
Find the intersection of the solution and the defined range
x≈2.399863x≈−2.399863
Solution
x1≈−2.399863,x2≈2.399863
Show Solution