Problem: Convert the following equation to standard form: 5a? - 12y2 +30x + 144y 447 0 Solution: Row 1: 5x2 + 30x 12y2 + 144y = 447 Row 2: 5 (x2 + 6x) – 12 (y? – 12y) = 447 | Row 3: 5 (x2 + 6x + 9) – 12 (y? – 12y + 36) = 447 +9+ - Row 4: 5(x + 3) – 12(y – 6) = 492 5(x+3)? 12(y-6) 492 Row 5: 492 492 492 Row 6: (x+3)? (y-6)2 1 492 41

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.2: Properties Of Matrrix Operations
Problem 13E: Solve for X in the Equation, given A=-401-532 and B=12-2144 a 3X+2A=B b 2A5B=3X c X-3A+2B=0 d...
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what row does the mistake occur ? what is the correct standard form
Problem: Convert the following equation to standard
form:
5x2 - 12y2 + 30x + 144y- 447 = 0
Solution:
Row 1: 5x? + 30x - 12y? + 144y = 447
Row 2: 5 (x2 + 6x) - 12 (y? - 12y) = 447
Row 3:
5 (x2 + 6x + 9) – 12 (y? – 12y + 36) = 447 + 9+
Row 4: 5(x +3)2 – 12(y – 6)² = 492
5(x+3)2
12(y-6)?
492
Row 5:
492
492
492
(z+3)?
(y-6)2
Row 6:
1
492
41
5
Transcribed Image Text:Problem: Convert the following equation to standard form: 5x2 - 12y2 + 30x + 144y- 447 = 0 Solution: Row 1: 5x? + 30x - 12y? + 144y = 447 Row 2: 5 (x2 + 6x) - 12 (y? - 12y) = 447 Row 3: 5 (x2 + 6x + 9) – 12 (y? – 12y + 36) = 447 + 9+ Row 4: 5(x +3)2 – 12(y – 6)² = 492 5(x+3)2 12(y-6)? 492 Row 5: 492 492 492 (z+3)? (y-6)2 Row 6: 1 492 41 5
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