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9.7 Solve Quadratic Systems
Goal p Solve quadratic systems.
VOCABULARY
Quadratic system
Example 1 Solve a linear-quadratic system by graphing
Solve the system using a graphing calculator.
y2 2 3x 2 1 5 0 Equation 1
2x 2 y 5 6 Equation 2
1. Solve each equation for y.
Equation 1 Equation 2
y 2 2 3x 2 1 5 0 2x 2 y 5 6
y 2 5 2y 5
y 5 y 5
2. Graph the equations. Use the
calculator’s intersect feature to
find the coordinates of the
intersection points. The graphs
of y 5 and
y 5 intersect at
Intersection
X=5 Y=4
( , ). The graphs of y 5 and
y 5 intersect at ( , ).
The solutions are ( , ) and ( , ). Check
the solutions by substituting the coordinates of the points
into each of the original equations.
Checkpoint Use a graphing calculator to solve system.
1. x 2 1 y 2 5 18 Equation 1
y 5 2x 1 6 Equation 2
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