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Chapter 6: Q. 431 (page 636)

In the following exercises, solve.

144m2-25=0

Short Answer

Expert verified

Answer ism=512,m=-512

Step by step solution

01

Step 1. Given

The equation is144m2-25=0

02

Step 2. Simplify the equation

We will use a2-b2=(a+b)(a-b)to simplify the equation.

144m2-25=0(12m)2-(5)2=0(12m+5)(12m-5)=0

So,

12m+5=0m=-512

and

12m-5=0m=512

03

Step 3. Check both the values

Put m=512in original equation,

144m2-25=01445122-25=025-25=00=0

True

Now put m=-512in original equation,

144m2-25=0144-5122-25=025-25=00=0

True

04

Step 4. Required answer

Answer ism=512,m=-512

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