Sum of a number and it's reciprocal is 6. What is the number?
Let the number be n.
The reciprocal is 1/n.
The word is means an equation, so we set n + 1/n equal to 6
n + 1/n = 6
Multiply each side by n to remove the fraction:
n^2 + 1 = 6n
Subtract 6n from each side:
n^2 - 6n + 1 = 0 <-- This is our algebraic expression
If the problem asks you to solve for n, then you type this quadratic equation into our search engine.
Let the number be n.
The reciprocal is 1/n.
The word is means an equation, so we set n + 1/n equal to 6
n + 1/n = 6
Multiply each side by n to remove the fraction:
n^2 + 1 = 6n
Subtract 6n from each side:
n^2 - 6n + 1 = 0 <-- This is our algebraic expression
If the problem asks you to solve for n, then you type this quadratic equation into our search engine.