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K 12. Problem 54. Find a number such that if 7 is added to it and the sum multiplied by the root of 3 times the number, then the result is 10 times the number. [Hint: To solve the equation (x +7)/3x = 10x, put 1 =v²; this yields y2 + 21 = 10y.]

K 12. Problem 54. Find a number such that if 7 is added to it and the sum multiplied by the root of 3 times the number, then the result is 10 times the number. [Hint: To solve the equation (x +7)/3x = 10x, put 1 =v²; this yields y2 + 21 = 10y.]

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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K 12. Problem 54. Find a number such that if 7 is added to it and the sum multiplied by the root of 3 times the number, then the result is 10 times the number. [Hint: To solve the equation (x +7)/3x = 10x, put =y²; this yields y + 21 = 10y.]
Transcribed Image Text:K 12. Problem 54. Find a number such that if 7 is added to it and the sum multiplied by the root of 3 times the number, then the result is 10 times the number. [Hint: To solve the equation (x +7)/3x = 10x, put =y²; this yields y + 21 = 10y.]
1. Two birds start ying from the tops of two towers 50 feet apart; one tower is 30 feet high and the other 40 feet high. Starting at the same time and ying at the same rate, the birds reach a fountain between the bases of the towers at the same moment. How far is the fountain from each tower?
Transcribed Image Text:1. Two birds start ying from the tops of two towers 50 feet apart; one tower is 30 feet high and the other 40 feet high. Starting at the same time and ying at the same rate, the birds reach a fountain between the bases of the towers at the same moment. How far is the fountain from each tower?
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