Question

10x - 1/x = 3 solve by completing square method

Answer 1

Answer:

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

Step-by-step explanation:

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!!

Please mark it as the BRAINLIEST answer.

Answer 2

10x²-1=3x

10x²-3x=1

10(10x²-3x=1)

100x²-30x=10

(10x)²-2(10x)(3/2)=10

(10x)²-2(10x)(3/2)+(3/2)²=10+(3/2)²

(10x-3/2)²=10+9/4

(20x-3)²/4= 49/4

20x-3 =7

20x=10

x=1/2

x={0,1/2}