Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
43x5−215x
Evaluate
43x5−721×x
Solution
More Steps
Evaluate
721
Multiply the denominator of the fraction by the whole number and add the numerator of the fraction
27×2+1
Multiply the terms
214+1
Add the terms
215
43x5−215x
Show Solution
Factor the expression
43x(x4−10)
Evaluate
43x5−721×x
Covert the mixed number to an improper fraction
More Steps
Evaluate
721
Multiply the denominator of the fraction by the whole number and add the numerator of the fraction
27×2+1
Multiply the terms
214+1
Add the terms
215
43x5−215x
Rewrite the expression
43x×x4−43x×10
Solution
43x(x4−10)
Show Solution
Find the roots
x1=−410,x2=0,x3=410
Alternative Form
x1≈−1.778279,x2=0,x3≈1.778279
Evaluate
43x5−721×x
To find the roots of the expression,set the expression equal to 0
43x5−721×x=0
Covert the mixed number to an improper fraction
More Steps
Convert the expressions
721
Multiply the denominator of the fraction by the whole number and add the numerator of the fraction
27×2+1
Multiply the terms
214+1
Add the terms
215
43x5−215x=0
Factor the expression
86x(x4−10)=0
Divide both sides
x(x4−10)=0
Separate the equation into 2 possible cases
x=0x4−10=0
Solve the equation
More Steps
Evaluate
x4−10=0
Move the constant to the right-hand side and change its sign
x4=0+10
Removing 0 doesn't change the value,so remove it from the expression
x4=10
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±410
Separate the equation into 2 possible cases
x=410x=−410
x=0x=410x=−410
Solution
x1=−410,x2=0,x3=410
Alternative Form
x1≈−1.778279,x2=0,x3≈1.778279
Show Solution