Finite Math Examples

Add to both sides of the equation.
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of , the coefficient of .
Add the term to each side of the equation.
Simplify the equation.
Tap for more steps...
Simplify the right side.
Tap for more steps...
Simplify each term.
Tap for more steps...
Use the power rule to distribute the exponent.
Tap for more steps...
Apply the product rule to .
Apply the product rule to .
Raise to the power of .
Multiply by .
Raise to the power of .
Raise to the power of .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Tap for more steps...
Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Tap for more steps...
Multiply by .
Add and .
Simplify each term.
Tap for more steps...
Use the power rule to distribute the exponent.
Tap for more steps...
Apply the product rule to .
Apply the product rule to .
Raise to the power of .
Multiply by .
Raise to the power of .
Raise to the power of .
Factor the perfect trinomial square into .
Solve the equation for .
Tap for more steps...
Take the square root of each side of the equation to set up the solution for
Remove the perfect root factor under the radical to solve for .
Simplify the right side of the equation.
Tap for more steps...
Rewrite as .
Simplify the denominator.
Tap for more steps...
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Remove parentheses.
Add to both sides of the equation.
Enter YOUR Problem
Mathway requires javascript and a modern browser.