College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 5, Systems of Equations and Inequalities - Section 5.4 - Systems of Nonlinear Equations - 5.4 Exercises - Page 466: 18

Answer

The intersection points of the graphs are $(0,0)$ and $(3,\pm \sqrt{3})$.

Work Step by Step

From the graph, the equations $x^2+y^2=4x$ and $x=y^2$ intersect about the points $(0,0)$ and $(3,\pm 1.7)$. Let us check. Substitute $x=y^2$ into the first equation to solve for $y$: $(y^2)^2+y^2=4y^2$ $y^4-3y^2=0$ $y^2(y^2-3)=0$ So, $y^2=0\to y=0$ $y^2-3=0\to y=\pm \sqrt{3}\approx \pm 1.73$
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