SOLUTION: Find the number that is 7/12 less than its reciprocal

Question 367439: Find the number that is 7/12 less than its reciprocal
Answer by mananth(16949) (Show Source): You can put this solution on YOUR website!
let the number be x
its reciprocal = 1/x
x= 1/x -7/12
x-1/x = -7/12
x^2- 1 /x = -7/12
12(x^2-1)= -7x
12x^2-12 = 7x
12x^2+7x-12 =0
use quadratic equation to find the roots
x1=(-7+sqrt(625))/24
x1= 0.75
x2=(-7-sqrt(625))/24
x2= -1.333
..
m.ananth@hotmail.ca
RELATED QUESTIONS
THE SUM OF A NUMBER AND 12 TIMES ITS RECIPROCAL IS 7. FIND THE... (answered by MathLover1,Fombitz)

How do I solve? The additive inverse of a number divided by 12 is the same as one less (answered by ankor@dixie-net.com)

The additive inverse of a number divided by 12 is the same as one less than three times (answered by Mathtut,solver91311)

The sum of a number and 12 times its reciprocal is -7. Find the numbers. (answered by algebrapro18)

What is "the sum of the reciprocal of a number and the reciprocal of 7 less than the... (answered by BadLandsBarn)

a number minus its reciprocal is less than zero. find the numbers and answer in interval... (answered by Boreal,MathTherapy)

if the reciprocal of a certain positive number is one less than twice that number, find... (answered by MRperkins)

The reciprocal of 5 less than a number is 4 times the reciprocal of twice the number.... (answered by stanbon)

A number minus the product of 9 and its reciprocal is less than... (answered by EdenWolf,MathTherapy)