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Chapter 11: Q. 1 (page 796)

In Problems 1-6, solve each equation.

role="math" localid="1647069553838" 2x2-x=0.

Short Answer

Expert verified

The solution set for the equation2x2-x=0is, 0,12.

Step by step solution

01

Step 1 Given equation is,

2x2-x=0

First factor out the common terms.

role="math" localid="1647069944400" 2x2-x=x2x-1

02

Step 2 Now use the zero product property and simplify it.

x2x-1=0x=0and2x-1=02x=1x=12

So, the required solution set is,0,12.

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Most popular questions from this chapter

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

2x-3y-z=0-x+2y+z=53x-4y-z=1

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

x-y-z=1-x+2y-3z=-43x-2y-7z=0

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x+3y=52x-3y=-8

Verify that the values of the variables listed are solutions of the system of equations.

3x+3y+2z=4x-y-z=02y-3z=-8x=1,y=-1,z=2;1,-1,2

Graph each equation of the system. Then solve the system to find the points of intersection.
y=x2+1y=4x+1
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