Algebra Examples

, ,
Use the standard form of a quadratic equation as the starting point for finding the equation through the three points.
Create a system of equations by substituting the and values of each point into the standard formula of a quadratic equation to create the three equation system.
Solve the system of equations to find the values of , , and .
Tap for more steps...
Solve for in the first equation.
Replace all occurrences of in with
Replace all occurrences of in with
Simplify.
Tap for more steps...
Remove parentheses.
Remove parentheses.
Solve for in the second equation.
Replace all occurrences of in with
Solve for in the third equation.
Replace all occurrences of in with
Simplify .
Tap for more steps...
Simplify each term.
Tap for more steps...
Multiply the numerator by the reciprocal of the denominator.
Multiply .
Tap for more steps...
Multiply and .
Multiply by .
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 .
Substitute the actual values of ,, and into the formula for a quadratic equation to find the resulting equation.
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