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Chapter 11: Q. 430 (page 1069)

In the following exercises, solve.

q3+3q2+2q=0

Short Answer

Expert verified

Answer isq=0,q=-1,q=-2

Step by step solution

01

Step 1. Given

The equation is q3+3q2+2q=0

02

Step 2. Simplify the equation

q3+3q2+2q=0q(q2+3q+2)=0q(q2+2q+q+2)=0q(q(q+2)+1(q+2))=0q(q+2)(q+1)=0

So,

q=0

and

q+2=0q=-2

and

q+1=0q=-1

03

Step 3. Check all the values

Put q=0in the original equation,

q3+3q2+2q=003+3(0)2+2(0)=00=0

True

Now put q=-2in original equation,

q3+3q2+2q=0(-2)3+3(-2)2+2(-2)=0-8+12-4=00=0

True

Now put q=-1in the original equation,

q3+3q2+2q=0(-1)3+3(-1)2+2(-1)=0-1+3-2=00=0

True

04

Step 4. Required answer

Answer isq=0,q=-2,q=-1

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