Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 11 - Section 11.4 - Shifted Conics - 11.4 Exercises - Page 815: 58

Answer

No solution.

Work Step by Step

Step 1. Start from the original equation and form squares with the variables: $x^2+20x+4y^2-40y=-300$ or $(x^2+20x+100)+4(y^2-10y+25)=100+100-300$ which gives $(x-10)^2+4(y-5)^2=-100$ Step 2. Clearly the above equation has no solutions as both squares are larger or equal to zero. Step 3. We can not graph the equation.
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