solving for simplified radical answer
(4/3x)-(3/x^2) = (1/5)
2007-10-28 13:04:29 · 3 answers · asked by phresh 1 in Science & Mathematics ➔ Mathematics
get LCD (3x²)
combine...
(4x - 9)/3x² = 1/5
cross multiply...
5(4x - 9) = 3x²
20 x - 45 = 3x²
3x² - 20x + 45 = 0
use quadratic formula...
{-(-20) +- √[(-20² - 4(3)(45)]}/2(3)
20 +- √400 - 540 / 6
note that the ones inside the sqrt is imaginary (because of the negative answer), so the answer to your question is imaginary...
2007-10-28 13:15:45 · answer #1 · answered by forgetfulpcspice 3 · 0⤊ 0⤋
= (4x - 9)/3x^2=1/5 Get rid of fractions
20x - 45 = 3x^2 Put into ax^2 + bx + c = 0 format
3x^2 - 20x + 45 = 0 Factor
But it isn't factorable, so you use the quadratic formula.
X1= 3.3333 plus 1.972 i
X2= 3.3333 minus 1.972 i
Hope that helped!
2007-10-28 13:16:31 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Why don't you you read you book and find out how to do this. It will be on the test.pp
2007-10-28 13:10:39 · answer #3 · answered by ttpawpaw 7 · 0⤊ 0⤋