11.6 Solving Quadratic Systems. Two equations of the form Ax 2 + Bxy + Cy 2 + Dx + Ey + F = 0 considered together is called a quadratic system. You can.

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Presentation transcript:

11.6 Solving Quadratic Systems

Two equations of the form Ax 2 + Bxy + Cy 2 + Dx + Ey + F = 0 considered together is called a quadratic system. You can have from 0 to 4 answers. Ex 1) Identify, solve and graph  circle  line *substitution is the best method* (–3, –5) (5, 3)

Ex 2) Identify, solve and graph  hyperbola  ellipse *addition is the best method* –2 ( )

Ex 3) Determine two positive numbers whose sum is 17 and whose product is 72. x + y = 17x = 17 – y 0 = (y – 8)(y – 9) xy = 72 y = 8 y = 9 (17 – y)y = 72x + 8 = 17 x + 9 = 17 17y – y 2 = 72 x = 9 x = 8 0 = y 2 – 17y and 9 Ex 4) Graph the system of inequalities circle r = 6

Homework #1108 Pg 574 #3, 7, 11, 13, 15, 18, 21, 25, 30, 33, 35, 37, 38, 43