Question

express-65/143 as rational number with denominater 11​

Answer 1

Answer:

The solution of the equation is x=1.577,0.422x=1.577,0.422 .

Step-by-step explanation:

Given : Equation \frac{1}{x}-\frac{1}{x-2}=3

x

1

−

x−2

1

=3 .

To find : Solve the equation ?

Solution :

Equation \frac{1}{x}-\frac{1}{x-2}=3

x

1

−

x−2

1

=3

Solving equation by taking LCM,

\frac{x-2-x}{x(x-2)}=3

x(x−2)

x−2−x

=3

Cross multiply,

-2=3x(x-2)−2=3x(x−2)

-2=3x^2-6x−2=3x

2

−6x

3x^2-6x+2=03x

2

−6x+2=0

Using quadratic formula, x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}x=

2a

−b±

b

2

−4ac

Here, a=3, b=-6 and c=2

x=\frac{-(-6)\pm\sqrt{(-6)^2-4(3)(2)}}{2(3)}x=

2(3)

−(−6)±

(−6)

2

−4(3)(2)

x=\frac{6\pm\sqrt{36-24}}{6}x=

6

6±

36−24

x=\frac{6\pm\sqrt{12}}{6}x=

6

6±

12

x=\frac{6\pm2\sqrt{3}}{6}x=

6

6±2

3

x=\frac{3\pm\sqrt{3}}{3}x=

3

3±

3

x=\frac{3+\sqrt{3}}{3},\frac{3-\sqrt{3}}{3}x=

3

3+

3

,

3

3−

3

x=1.577,0.422x=1.577,0.422

Therefore, the solution of the equation is x=1.577,0.422x=1.577,0.422 .

#Learn more

Solve x minus 1 divided by x minus 2 minus x minus 3 / x - 4 is equal to 10 by 3

Answer 2

It's simple.

Simply cut -65 and 143 by 13

You will get -5/11

So, we have the denominator as 11.

And-5/11 is a rational number.

So all conditions are fulfilled given in the question.

And our answer also came.

Hope my solution helped you.

Mark it as brainliest if it helped.