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 the following equation:
`(3"x" + 2)/("x" - 6) = -7`
Solve:
`5x − (4x + (5x - 4)/7) = (4x - 14)/3`
The length of a rectangle is twice its width. If its perimeter is 54 cm; find its length.
A man’s age is three times that of his son, and in twelve years he will be twice as old as his son would be. What are their present ages.
Solve:
`1/10 - 7/x = 35`
Solve:
13(x − 4) - 3(x − 9) − 5(x + 4) = 0
Solve:
`(x + 2)/6 - ((11 - x)/3 - 1/4) = (3x - 4)/12`
Solve: `("9x" + 7)/2 - ("x" - ("x" - 2)/7) = 36`
A man sold an article for ₹ 396 and gained 10% on it. Find the cost price of the article
Given that x ≥ y. Fill in the blank with suitable inequality sign
– xy `square` – y2
