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.]

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter14: Sequences And Mathematical Induction
Section14.3: Another Look At Problem Solving
Problem 29PS
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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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