,

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 .

Replace with in the equation.

Solve the equation for .

Remove the parentheses around the expression .

Add and .

Replace with in the equation.

Solve the equation for .

Remove the parentheses around the expression .

Add and .

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