SOLUTION: find an integer such that the sum of eight times the number and 9 times the reciprocal of the number is 27 ? i got 8x+9/x=27 i am not sure if i have it written wrong but i ca

Algebra ->  Human-and-algebraic-language -> SOLUTION: find an integer such that the sum of eight times the number and 9 times the reciprocal of the number is 27 ? i got 8x+9/x=27 i am not sure if i have it written wrong but i ca      Log On


   

Question 864061: find an integer such that the sum of eight times the number and 9 times the reciprocal of the number is 27 ?

i got 8x+9/x=27 i am not sure if i have it written wrong but i cant seam to get an answer for x
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
8x%2B9%2Fx=27 Yes, good work
|Multiplying thru by 10x so as all denominators = 1
8x^2 - 27x + 9 = 0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%2827+%2B-+sqrt%28+441+%29%29%2F%2816%29+
x+=+%2827+%2B-+21%29%2F%2816%29+
x = 3 0r x = 3/8