Algebra Examples

Find the Maximum/Minimum Value
The minimum of a quadratic function occurs at . If is positive, the minimum value of the function is .
occurs at
Find the value of .
Tap for more steps...
Substitute in the values of and .
Remove parentheses.
Multiply by .
Evaluate .
Tap for more steps...
Replace the variable with in the expression.
Simplify the result.
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 .
Cancel the common factor of .
Tap for more steps...
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply .
Tap for more steps...
Multiply by .
Combine and .
Multiply by .
Move the negative in front of the fraction.
Find the common denominator.
Tap for more steps...
Multiply by .
Multiply and .
Write as a fraction with denominator .
Multiply by .
Multiply and .
Reorder the factors of .
Multiply by .
Combine fractions.
Tap for more steps...
Combine fractions with similar denominators.
Multiply.
Tap for more steps...
Multiply by .
Multiply by .
Simplify the numerator.
Tap for more steps...
Subtract from .
Subtract from .
Move the negative in front of the fraction.
The final answer is .
Use the and values to find where the minimum occurs.
Enter YOUR Problem
Mathway requires javascript and a modern browser.
Cookies & Privacy
This website uses cookies to ensure you get the best experience on our website.
More Information