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: 0.25 + `1.95/"x" = 0.9`
Fifteen more than 3 times Neetu’s age is the same as 4 times her age. How old is she ?
A’s salary is same as 4 times B’s salary. If together they earn Rs.3,750 a month, find the salary of each.
The length of a rectangle is twice its width. If its perimeter is 54 cm; find its length.
A man is 42 years old and his son is 12 years old. In how many years will the age of the son be half the age of the man at that time?
The difference of two numbers is 3 and the difference of their squares is 69. Find the numbers.
Solve: `"x" + 7 - "8x"/3 = "17x"/6 - "5x"/8`
Given that x ≥ y. Fill in the blank with suitable inequality sign
x + 6 `square` y + 6
When x is an integer, the solution set for x ≤ 0 are −1, −2, ...
Solve the following inequalities
4n + 7 ≥ 3n + 10, n is an integer
