# Find the Points of Intersection y=x^2 , y=x+2

,
Substitute for into then solve for .
Replace with in the equation.
Solve the equation for .
Subtract from both sides of the equation.
Move to the left side of the equation by subtracting it from both sides.
Factor using the AC method.
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Write the factored form using these integers.
Set equal to and solve for .
Set the factor equal to .
Add to both sides of the equation.
Set equal to and solve for .
Set the factor equal to .
Subtract from both sides of the equation.
The solution is the result of and .
Substitute for into then solve for .
Replace with in the equation.
Solve the equation for .
Remove the parentheses around the expression .
Substitute for into then solve for .
Replace with in the equation.
Solve the equation for .
Remove the parentheses around the expression .
The solution to the system is the complete set of ordered pairs that are valid solutions.
Find the Points of Intersection y=x^2 , y=x+2

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