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Chapter 11: Q. 34 (page 773)

Graph each equation of the system. Then solve the system to find the points of intersection.

3x2-2y2+5=02x2-y2+2=0

Short Answer

Expert verified

The point of intersection is (1,2),(1,-2),(-1,2),(-1,-2).

Step by step solution

01

Step 1. Given information

3x2-2y2+5=02x2-y2+2=0

02

Step 2. Graphing each equation

3x2-2y2+5=0


2x2-y2+2=0

03

Step 3. Calculation of intersection point

Consider,3x2-2y2+5=0....(1)2x2-y2+2=0.......(2)Multiply2witheq.2andsubtractfromeq.1weget-x2+1=0x=卤1substitutevalueofxineq.1togetyx=13-2y2+5=0y=卤2x=-1y=卤2

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Most popular questions from this chapter

Graph each inequality by hand.

x2+y2>1

solve each system of equations. If the system has no solution, say that it is inconsistent.

x + y - z = 6

3x - 2y + z = -5

x + 3y - 2z = 14

Graph each inequality by hand.

y>x2+2

In Problems 5鈥�24, graph each equation of the system. Then solve the system to find the points of intersection.

x2+y2=16;x2-2y=8

Solve each system of equations. If the system has no solution, say that it is inconsistent.

x-y-z=12x+3y+z=23x+2y=0
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