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Chapter 6: Q 292 (page 627)

In the following exercises, solve:

64p2=225

Short Answer

Expert verified

On solving the equation, we getp=158,-158.

Step by step solution

01

Step 1. Given information.

Consider the given equation,

64p2=225

Write the quadratic equation in standard form,

64p2-225=0

02

Step 2. Factor the quadratic expression.

On factoring, we get,

8p2-152=08p+158p-15=0

Use the zero product property,

8p+15=0p=-158

Then,

8p-15=0p=158

03

Step 3. Check the answers.

Substitute p=158in the given equation,

641582=22564脳22568=225225=225

This is true.

Substitute p=-158in the given equation,

64-1582=22564脳22564=225225=225

This is also true.

Hence, the answer is p=158,-158.

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