Solve the following equations: ?3−?2+?−1=0x3−x2+x−1=0 for x. ?2+4?2−4=0x2+4y2−4=0 and 2?2+?2+2=02x2+y2+2=0 for x and y Have the results printed ou

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Exercise #4

Solve the following equations:

  1. ?3−?2+?−1=0x3−x2+x−1=0 for x.
  2. ?2+4?2−4=0x2+4y2−4=0 and 2?2+?2+2=02x2+y2+2=0 for x and y

Have the results printed out.

Expert Solution
Step 1

Substitution method for solving linear equations:

Step 1: Solve one linear equation in terms of x for y.
Step 2: In the other linear equation, substitute that expression for y. You'll be given an x equation.
Step 3: Once you've solved this, you'll obtain the intersection's x-coordinate.
Step 4: In either equation, enter in x to determine the matching y-coordinate.

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