Evaluate n^(1/2)+6n^(1/4)-16=0

Evaluate n^(1/2)+6n^(1/4)-16=0
Factor the left side of the equation.
Tap for more steps...
Rewrite as .
Let . Substitute for all occurrences of .
Factor using the AC method.
Tap for more steps...
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Write the factored form using these integers.
Replace all occurrences of with .
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Set equal to and solve for .
Tap for more steps...
Set equal to .
Solve for .
Tap for more steps...
Add to both sides of the equation.
Raise each side of the equation to the power of to eliminate the fractional exponent on the left side.
Simplify the exponent.
Tap for more steps...
Simplify the left side.
Tap for more steps...
Simplify .
Tap for more steps...
Multiply the exponents in .
Tap for more steps...
Apply the power rule and multiply exponents, .
Cancel the common factor of .
Tap for more steps...
Cancel the common factor.
Rewrite the expression.
Simplify.
Simplify the right side.
Tap for more steps...
Raise to the power of .
Set equal to and solve for .
Tap for more steps...
Set equal to .
Solve for .
Tap for more steps...
Subtract from both sides of the equation.
Raise each side of the equation to the power of to eliminate the fractional exponent on the left side.
Simplify the exponent.
Tap for more steps...
Simplify the left side.
Tap for more steps...
Simplify .
Tap for more steps...
Multiply the exponents in .
Tap for more steps...
Apply the power rule and multiply exponents, .
Cancel the common factor of .
Tap for more steps...
Cancel the common factor.
Rewrite the expression.
Simplify.
Simplify the right side.
Tap for more steps...
Raise to the power of .
The final solution is all the values that make true.
Exclude the solutions that do not make true.
Do you know how to Evaluate n^(1/2)+6n^(1/4)-16=0? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Name

Name seven hundred fifty-six million seven hundred sixty-eight thousand one hundred seventy-seven

Interesting facts

  • 756768177 has 8 divisors, whose sum is 849348000
  • The reverse of 756768177 is 771867657
  • Previous prime number is 9

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 54
  • Digital Root 9

Name

Name one billion six hundred twenty-four million three hundred forty-seven thousand thirty

Interesting facts

  • 1624347030 has 16 divisors, whose sum is 3898432944
  • The reverse of 1624347030 is 0307434261
  • Previous prime number is 5

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 30
  • Digital Root 3

Name

Name one billion four hundred thirty-four million eight hundred seven thousand six hundred ten

Interesting facts

  • 1434807610 has 32 divisors, whose sum is 2720952000
  • The reverse of 1434807610 is 0167084341
  • Previous prime number is 1481

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 34
  • Digital Root 7