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Chapter 2: Q. 2 (page 126)

find the real solutions of each equation.

3x2-x=0

Short Answer

Expert verified

The solutions of the equation 3x2-x=0are

x=0x=13

Step by step solution

01

Step 1. Given data 

The given equation is

3x2-x=0

02

Step 2. solution of equation

Factorize the equation

3x2-x=0x3x-1=0

Use zero product property

3x-1=03x=1x=13

and x=0

solution of the equation arex=0&13

03

Step 3. Verification

Substitute 0 for x in the equation

3x2-x=03(0)2-(0)=?00=0

Substitute 13for x in the equation

3x2-x=03(13)2-(13)=?013-13=?00=0

Both sides of the equation are the same for both solutions so the solution is correct.

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