For the given values of n and d, find integers q and r such that n = dg + r and 0sr< d. n= -47, d= 6 %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Problem Statement:**

For the given values of \( n \) and \( d \), find integers \( q \) and \( r \) such that:

\[ n = dq + r \quad \text{and} \quad 0 \leq r < d. \]

Given:

\[ n = -47, \quad d = 6 \]

Calculate:

\[ q = \]
\[ r = \]
Transcribed Image Text:**Problem Statement:** For the given values of \( n \) and \( d \), find integers \( q \) and \( r \) such that: \[ n = dq + r \quad \text{and} \quad 0 \leq r < d. \] Given: \[ n = -47, \quad d = 6 \] Calculate: \[ q = \] \[ r = \]
Expert Solution
Step 1

Here given that

                          n=dq+r    0r<d

given n=-47    d=6

Now we find the value of  q and r

                            n=dq+r

                          -47=6×q+r

                        -47=6×(-8)+1

       Therefore the value of q and r is  q=-8 and r=1   

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