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In Problems 65-70, graph each equation and find the point(s) of intersection, if any.

y=4x-3and the circlex2-6x+y2+1=0.

Short Answer

Expert verified

The graph of the equationy=4x-3 and the circlex2-6x+y2+1=0 is,

From the graph, the intersecting points are, 5,2,1,-2.

Step by step solution

01

Step 1. Given information

y=4x-3x2-6x+y2+1=0

First solve each equation for y.

Consider the first equation,

y=4x-3

Consider the second equation,

x2-6x+y2+1=0y2+1=-x2+6xy2=-x2+6x-1y=±-x2+6x-1

02

Step 2 Now sketch a graph for the obtained equations.

In the graph, the two equations are intersecting at two points. They are,1,-2,5,2.

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