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Chapter 2: Q. 60 (page 112)

In the following exercises, solve each equation with fraction coefficients.

3p+63=p2

Short Answer

Expert verified

The value ofp=-4

Step by step solution

01

Step 1. Given Information 

In the given question we have to solve equation with fraction coefficients.

3p+63=p2

02

Step 2. The given equation is 3p+63=p2

Now we solve the given equation for the value ofp

03

Step 3. We want to clear the fractions by multiplying both sides of the equation by the LCD of all the fractions in the equation. 

Finding the LCD of all fractions in the equation.

The numbers are3,2

So the LCD is6

04

Step 4. Multiply both sides of the equation by 6.

63p+63=6脳p223p+6=3p

Distribute.

2脳3p+2脳6=3p6p+12=3p

05

Step 5. Simplify—notice, no more fractions. 

Subtract 3pon both side

role="math" localid="1645453288352" 6p+12-3p=3p-3p3p+12=0

Subtract 12 on both side

3p+12-12=0-123p=-1233p=-123p=-4

06

Step 6. Now checking the value. 

Putting p=-4in the given equation

3(-4)+63=-42-12+63=-2-63=-2-2=-2

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