Question

10x-1/x=3... quadratic equation

Answer 1

Given,

10x - 1/x=3
(10x² -1)/x= 3. (take LCM)
10x²-1= 3x. (cross multiplication)
10x²-3x-1=0
10x² +2x -5x -1= 0
2x(5x+1) -1(5x+1)=0.
(5x+1) (2x-1)=0
So,
2x-1= 0
x=1/2
or ,
5x+1=0
x= -1/5
Hence,,
x=1/2 or (-1/5).
Hope it helped you!!

Answer 2

x=1/2 or x=(-1/5).

10x - 1/x=3

(10x² -1)/x= 3. (taking LCM)

10x²-1= 3x. (cross multipling)

10x²-3x-1=0

10x² +2x -5x -1= 0

2x(5x+1) -1(5x+1)=0.

(5x+1) (2x-1)=0

So, we get

2x-1= 0

x=1/2

or ,

5x+1=0

x= -1/5

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