SOLUTION: A number less it reciprocal is 8/3. What is the number?

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Question 479634: A number less it reciprocal is 8/3. What is the number?
Found 2 solutions by mananth, Gogonati:
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
x- 1/x = 8/3
LCD = 3x
multiply by LCD
3x^2-3==8x
3x^2-8x-3=0
Find the roots of the equation by quadratic formula

a= 3 ,b= -8 ,c= -3

b^2-4ac= 64 + 36
b^2-4ac= 100
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=%28-12%2B21%29%2F%286%29
x1=( 8 + 10 )/ 6
x1= 3
x2=( 8 -10 ) / 6
x2= -0.33
x=3 or -0.33
m.ananth@hotmail.ca

Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Let the number be x. Its reciprocal is 1/x. Write the equation as we read.
x-1%2Fx=8%2F3, solving this equation we get x=3.