   Chapter 10.1, Problem 51E 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 parabola y = x 2 and the line y = 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 parabola y=x2 and the line y=x+2.

Explanation

The given parabola equation is y=x2.

The given line equation is y=x+2.

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

x2=x+2

Equating the equation to 0,

x2-x-2=0

Factorizing,

x-2x+1=0

From this x=2 or x=-1

Substitute the value of x in any of the equation to find y

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