Question

solve this: 8x-2=3/x​

Answer 1

Step-by-step explanation:

8x-2=3/x

multiple both side by x

we get:-

8x^2+2x=3

8x^2+2x-3=0

factorising

8x^2 -4x+6x+3=0

-4x(2x+1)+3(2x+1)=0

(2x+1)(-4x+3)=0

2x+1=0 -4x+3=0

2x=-1 -4x=-3

x=-1/2 x=3/4

Answer 2

Step-by-step explanation:

8x-2=3/x

=> 8x-2-3/x=0

=>8x²-2x-3=0

=>8x²-6x+4x-3=0

=>2x(4x-3)+1(4x-3)=0

=>(4x-3)(2x+1)=0

Either

4x-3=0 =>4x=3=>x=3/4

Or

2x+1=0=>2x=-1=>x=-1/2