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Chapter 2: Q. 514 (page 293)

In the following exercise, determine whether each number is a solution to the equation.

鈭�12n+5=8n;n=鈭�54

Short Answer

Expert verified

No, n=鈭�54is not the solution to the equation鈭�12n+5=8n.

Step by step solution

01

Step 1. Given information

The given equation is 鈭�12n+5=8n.

The given solution isn=鈭�54.

We have to determine whether the given number is the solution to the equation or not.

02

Step 2. Checking the solution

Now,

We have,鈭�12n+5=8n;n=鈭�54

Substitute n=鈭�54

鈬�鈭�12鈭�54+5=8鈭�54

Simplify

鈬�鈭�3脳鈭�5=2脳鈭�5鈬�15鈮�鈭�10

Hence, the given number is the solution to the equation.

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