haliebre said:
It was equal to 0 and the first way you wrote it was correct.
So the original exercise was as follows:
. . . . .Solve the following:
. . . . .\(\displaystyle \large{x^2\,-\,\frac{4}{3x}\,+\,\frac{4}{9}\, =\,0}\)
That still leaves us wondering how you obtained solutions of x = 4/3 and x = 1/3, since:
. . . . .x<sup>2</sup> - 4/(3x) + 4/9 = 0
. . . . .[4/3]<sup>2</sup> - 4/(3[4/3]) + 4/9 ?=? 0
. . . . .16/9 - 1 + 4/9 ?=? 0
. . . . .20/9 - 1 ?=? 0
. . . . .20/9 - 9/9 = 11/9 ?=? 0
So "x = 4/3" doesn't work. And:
. . . . .x<sup>2</sup> - 4/(3x) + 4/9 = 0
. . . . .[1/3]<sup>2</sup> - 4/(3{1/3]) + 4/9 ?=? 0
. . . . .1/9 - 4 + 4/9 ?=? 0
. . . . .5/9 - 4 ?=? 0
. . . . .5/9 - 36/9 = -31/9 ?=? 0
So "x = 1/3" doesn't work.
Please reply showing your steps. For instance, first you multiplied through to clear the denominators. What did you multiply by? What did you get? What did you do next?
Thank you.
Eliz.