   Chapter 10.1, Problem 50E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

The graphs of the parabolas eith equations y = x 2 and the line y = 18 - x 2 intersect at two points. Find the two points of intersection.(HINT: Equate y values.)

To determine

To find:

The points of intersection of parabolas y=x2 and y=18-x2.

Explanation

The given parabola equations are y=x2 and y=18-x2.

To find the point of intersection, we have to equate the y values.

x2=18-x2

Equating the equation to 0,

x2+x2-18=0

Simplifying,

2x2-18=0

2x2-9=0

Dividing by 2,

x2-9=0

Factorizing,

x+3

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