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Chapter 2: Q.34. (page 112)

Classify the below equation as a conditional equation, an identity, or a contradiction, and then state the solution.

243d-4+100=52

Short Answer

Expert verified

The equation is a conditional equation and the solution of this equation isd=23.

Step by step solution

01

Step 1. Given information

The given equation is243d-4+100=52.

02

Step 2. Apply the distributive property to simplify the equation.

24脳3d-24脳4+100=5272d-96+100=5272d+4=52

03

Step 3. Collect all constant terms on one side of the equation and then simplify.

Subtract 4from each side.

72d+4-4=52-472d=48

Divide each side by 72.

72d72=4872d=23

From the above result, we can say that the given equation is true only for d=23.

So, the equation is a conditional equation.

Hence, the solution of the given equation isd=23.

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