Question

solve the following rational equations and inequalities ​

Answer 1

Answer:

sorry?? i don't know??

Step-by-step explanation:

you know BTS?? they are BTS!!

Answer 2

Given that:

x -2 + 1 = 1 is a rational equation.

x²-4 x +2 x -2

To find:

solve the given rational equation & find x.

Solution:.

Here, we are using the LCD ( least common denominator) method to solve the given rational equation.

x -2 + 1 = 1 [ eqn. 1]

x²-4 x +2 x -2

• first we find the LCD of the given rational equation by taking the common denominator among the three, which is

x -2 + 1 = 1

x²-4 x+2. x -2

=> in equation,we can write x²-2 as (x -2)(x+2)

=> x -2 + 1 = 1

(x -2)(x+2) x+2 x -2

=> So,the LCD for the given rational equation is (x -2)(x +2).

=>now, we multiply both the sides with the LCD

(x -2)(x +2)

=> on multiplying LCD with the equation, we get;

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

[as the common factors among the denominator and numerator are cancelled]

=> on solving the equation, we get

x -2 + x -2 = x+2

=> 2x -4= x+2

=> for making it simple ,we assemble the variable to left side and numeric value to right, and by that we get

=> 2x-x = 2+4

=> x = 6

The only possible value of x is 6.

For checking, we substitute the value of x=6 in [ eqn. 1]:

x -2 + 1 = 1 [ eqn. 1]

[ eqn. 1]x²-4 x +2 x -2

putting the value of x=6,

6 -2 + 1 = 1

36-4 6 +2 6 -2

=> 4 + 1 = 1

32 8. 4

=>1 + 1 = 1

8. 8. 4

=> 2/8 =1/4

=> 1/4 = 1/4

Hence, it is proved that the value of x= 6.