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Finite Math Examples
, ,
Step 1
Use the standard form of a quadratic equation as the starting point for finding the equation through the three points.
Step 2
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.
Step 3
Step 3.1
Solve for in .
Step 3.1.1
Rewrite the equation as .
Step 3.1.2
Simplify each term.
Step 3.1.2.1
Raise to the power of .
Step 3.1.2.2
Move to the left of .
Step 3.1.2.3
Move to the left of .
Step 3.1.3
Move all terms not containing to the right side of the equation.
Step 3.1.3.1
Subtract from both sides of the equation.
Step 3.1.3.2
Add to both sides of the equation.
Step 3.2
Replace all occurrences of with in each equation.
Step 3.2.1
Replace all occurrences of in with .
Step 3.2.2
Simplify .
Step 3.2.2.1
Simplify the left side.
Step 3.2.2.1.1
Remove parentheses.
Step 3.2.2.2
Simplify the right side.
Step 3.2.2.2.1
Simplify .
Step 3.2.2.2.1.1
Simplify each term.
Step 3.2.2.2.1.1.1
Raise to the power of .
Step 3.2.2.2.1.1.2
Move to the left of .
Step 3.2.2.2.1.1.3
Move to the left of .
Step 3.2.2.2.1.2
Simplify by adding terms.
Step 3.2.2.2.1.2.1
Subtract from .
Step 3.2.2.2.1.2.2
Add and .
Step 3.2.3
Replace all occurrences of in with .
Step 3.2.4
Simplify .
Step 3.2.4.1
Simplify the left side.
Step 3.2.4.1.1
Remove parentheses.
Step 3.2.4.2
Simplify the right side.
Step 3.2.4.2.1
Simplify .
Step 3.2.4.2.1.1
Combine the opposite terms in .
Step 3.2.4.2.1.1.1
Reorder the factors in the terms and .
Step 3.2.4.2.1.1.2
Add and .
Step 3.2.4.2.1.1.3
Add and .
Step 3.2.4.2.1.2
Simplify each term.
Step 3.2.4.2.1.2.1
Raise to the power of .
Step 3.2.4.2.1.2.2
Move to the left of .
Step 3.2.4.2.1.3
Combine the opposite terms in .
Step 3.2.4.2.1.3.1
Subtract from .
Step 3.2.4.2.1.3.2
Subtract from .
Step 3.3
Since is not true, there is no solution.
No solution
No solution