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...
Simplify each equation.
Tap for more steps...
Remove parentheses.
Simplify .
Tap for more steps...
Simplify each term.
Tap for more steps...
Raising to any positive power yields .
Multiply by .
Multiply by .
Combine the opposite terms in .
Tap for more steps...
Add and .
Add and .
Remove parentheses.
Simplify each term.
Tap for more steps...
Raise to the power of .
Move to the left of .
Move to the left of .
Remove parentheses.
Simplify each term.
Tap for more steps...
Raise to the power of .
Move to the left of .
Move to the left of .
Rewrite the equation as .
Replace all occurrences of with in each equation.
Tap for more steps...
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.
Tap for more steps...
Rewrite the equation as .
Move all terms not containing to the right side of the equation.
Tap for more steps...
Move all terms not containing to the right side of the equation.
Tap for more steps...
Subtract from both sides of the equation.
Subtract from both sides of the equation.
Subtract from .
Divide each term by and simplify.
Tap for more steps...
Divide each term in by .
Cancel the common factor of .
Tap for more steps...
Cancel the common factor.
Divide by .
Simplify each term.
Tap for more steps...
Cancel the common factor of and .
Tap for more steps...
Factor out of .
Cancel the common factors.
Tap for more steps...
Factor out of .
Cancel the common factor.
Rewrite the expression.
Move the negative in front of the fraction.
Cancel the common factor of and .
Tap for more steps...
Factor out of .
Cancel the common factors.
Tap for more steps...
Factor out of .
Cancel the common factor.
Rewrite the expression.
Replace all occurrences of in with .
Simplify .
Tap for more steps...
Simplify each term.
Tap for more steps...
Apply the distributive property.
Cancel the common factor of .
Tap for more steps...
Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Cancel the common factor of .
Tap for more steps...
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Simplify by adding terms.
Tap for more steps...
Subtract from .
Add and .
Solve for in the third equation.
Tap for more steps...
Rewrite the equation as .
Move all terms not containing to the right side of the equation.
Tap for more steps...
Subtract from both sides of the equation.
Subtract from .
Divide each term by and simplify.
Tap for more steps...
Divide each term in by .
Cancel the common factor of .
Tap for more steps...
Cancel the common factor.
Divide by .
Cancel the common factor of and .
Tap for more steps...
Factor out of .
Cancel the common factors.
Tap for more steps...
Factor out of .
Cancel the common factor.
Rewrite the expression.
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...
Multiply and .
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