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
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.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4dd9d0aa-b3c2-41ec-8a5d-b1562792e6fa%2F49a23139-bf23-43da-848b-7dfa43617d4d%2F2tsbn3s_processed.jpeg&w=3840&q=75)
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.]

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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