Advertisements
Advertisements
प्रश्न
Solve the following equation:
`1/("x - 1") + 2/("x" - 2) = 3/("x" - 3)`
Advertisements
उत्तर
`1/("x - 1") + 2/("x" - 2) = 3/("x" - 3)`
`= (1("x" - 2) + 2("x" - 1))/(("x" - 1)("x" - 2)) = 3/("x" - 3)`
`=> ("x" - 2 + 2"x" - 2)/("x"^2 - "2x" - "x" + 2) = 3/"x - 3"`
`=> (3"x" - 4)/("x"^2 - "3x" + 2) = 3/"x - 3"`
⇒ (x - 3)(3x - 4) = 3(x2 - 3x + 2)
⇒ 3x2 - 4x - 9x + 12 = 3x2 - 9x + 6
⇒ 3x2 - 13x - 3x2 + 9x = 6 - 12
⇒ - 4x = - 6
x = `(-6)/(-4) = 3/2 = 1 1/2`
APPEARS IN
संबंधित प्रश्न
Solve:
`5x − (4x + (5x - 4)/7) = (4x - 14)/3`
If Megha’s age is increased by three times her age, the result is 60 years. Find her age
Five less than 3 times a number is -20. Find the number.
Fifteen more than 3 times Neetu’s age is the same as 4 times her age. How old is she ?
A number decreased by 30 is the same as 14 decreased by 3 times the number; Find the number.
The sum of three consecutive odd numbers is 57. Find the numbers.
Solve: `("9x" + 7)/2 - ("x" - ("x" - 2)/7) = 36`
After 12 years, I shall be 3 times as old as 1 was 4 years ago. Find my present age.
The ages of A and B are in the ratio 7 : 5. Ten years hence, the ratio of their ages will be 9 : 7. Find their present ages.
Given that x ≥ y. Fill in the blank with suitable inequality sign
x + 6 `square` y + 6
