0
Three times a number is subtracted from five times its reciprocal the result is 14 find the number?
Updated: 9/18/2023
Wiki User
∙ 13y agoBest Answer
3x -5(1/x) =14 *multiply everything by x
3x2-5= 14x *move 14x over
3x2-14x-5 *Factor
(3x+1)(x-5) *Solve by setting brackets to 0
3x+1 = 0
x=-1/3
x-5=0
x=5
CHECK BY PLUGGING INTO EQUATION
3(-1/3)- 5(1/-1/3) = 14
-1+ 15 = 14
3(5)-5(1/5)=14
15-1 =14
Therefore the number can be -1/3 or 5
Wiki User
∙ 13y agoThis answer is:
Add your answer:
Earn +20 ptsQ: Three times a number is subtracted from five times its reciprocal the result is 14 find the number?
Write your answer...
Submit
Still have questions?
Continue Learning about Math & Arithmetic
When the reciprocal of three times a number is subtracted from the reciprocal of the number?
*A+ answer is 4 .:Sandy:.
If 5 is subtracted from three times a number the result is 16 find the number?
-11
The reciprocal of a number plus the reciprocal of twice the number equals three tenths?
5
The reciprocal of two more than a number is three fourths of the reciprocal of the number itself What is the number?
6
The reciprocal of two more than a number is three fourths of the reciprocal of the numbers itself what is the number?
6
Related questions
What is the number when the reciprocal of three times a number is subtracted from the reciprocal of the number the result is one sixths?
4
When the reciprocal of three times a number is subtracted from the reciprocal of the number?
*A+ answer is 4 .:Sandy:.
When the reciprocal of three times a number is subtracted from the reciprocal of the number equals one sixth Find the number?
4
When the reciprocal of three times a number is subtracted from the reciprocal of the number the results is one sixth find the number?
1/x - 1/(3x) = 1/6Multiply each side by 6x:6 - 2 = xx = 4
When the reciprocal of three time a number is subtracted from the reciprocal of the number the result is one sixth find the number?
1/3x - 1/x = 1/6Multiply everything by x (and simplify):1/3 - 1 = x/6-2/3 = x/6Cross multiply:3x = -12Divide each side by 3:x = -4
When the reciprocal of three times a number is subtracted from the reciprocal of the number the result is one sixth. Find the number.?
Let the number be x, then: 1/6 = 1/x - 1/3x = 3/3x - 1/3x = 2/3x = 1/6 but 1/6 = 2/12 → 2/3x = 2/12 → 3x = 12 → x = 4 The number is 4.
If 5 is subtracted from three times a number the result is 16 find the number?
-11
The reciprocal of a number plus the reciprocal of twice the number equals three tenths?
5
The reciprocal of two more than a number is three times the reciprocal of the number Find the number?
-3
The reciprocal of two more than a number is three times the reciprocal of the number. Find the number.?
-3
The reciprocal of two more than a number is three fourths of the reciprocal of the number itself What is the number?
6
The reciprocal of a number plus the reciprocal of three times the number equals one third?
4
Copyright ©2024 Infospace Holdings LLC, A System1 Company. All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Answers.