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Chapter 7: Q. 454 (page 807)

In the following exercises, solve.

4n2=36

Short Answer

Expert verified

On solving, we get n=-3,+3.

Step by step solution

01

Given information

Give equation is 4n2=36.

We have to solve the given equation.

We will solve this by factoring in the equation and using the zero product rule.

02

Step 2. Zero Product rule

The zero product rule states that:

For ab=0, either a=0 or b=0 or both are zeroes.

03

Step 3. Factorising

Given equation can be factorized into a product of two linear terms as:

4n2=36鈬�4n2-36=0鈬�(2n)2-62=0鈬�(2n-6)(2n+6)=0

04

Step 4. Finding Solutions

According to Zero Product rule, the solutions are:

2n-6=0n=3 or2n+6=0鈬�n=-3

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