Question

solver by quadratic equation 5x-1/3 = 6/x

Answer 1

this is the and of this

Answer 2

Heya,

Your answer is here.

Given equation :-
$\frac{5x - 1}{3} = \frac{6}{x}$

Let us first convert them into quadratic equation --

We see that on both sides, the denominators are 3 and x, So, multiply both sides by 3x.

$=\ \textgreater \ 3x ( \frac{5x - 1}{3}) = 3x( \frac{6}{x}) \\ \\ =\ \textgreater \ x(5x-1)=3(6) \\ \\ =\ \textgreater \ 5 x^{2}-x= 18 \\ \\ =\ \textgreater \ x^{2} -x-18 = 0$

Now, the quadratic equation has been formed.

$=\ \textgreater \ 5 x^{2} -x-18=0 \\ \\ =\ \textgreater \ 5 x^{2} -10x+9x-18=0 \\ \\ =\ \textgreater \ 5x(x-2)+9(x-2)=0 \\ \\ =\ \textgreater \ (5x+9)(x-2 = 0.$
(x-2) = 0                 or   (5x+9) = 0
x = 2                       or    x = -9/5.

Hence, the roots of above equation are 2 and -9/5 respectively.

Hope it helps ...................