Advertisements
Advertisements
प्रश्न
Solve the following equation:
`(3"x")/("x" + 6) - "x"/("x" + 5) = 2`
Advertisements
उत्तर
`(3"x")/("x" + 6) - "x"/("x" + 5) = 2`
⇒ `(3"x"("x" + 5) - "x"("x" + 6))/(("x" + 6)("x" + 5)) = 2`
⇒ `(3"x"^2 + 15"x" - "x"^2 - 6"x")/("x"^2 + "5x" + "6x" + 30) = 2`
⇒ `(2"x"^2 + 9"x")/("x"^2 + 11"x" + 30) = 2`
⇒ 2x2 + 9x = 2 (x2 + 11x + 30)
⇒ 2x2 + 9x = 2x2 + 22x + 60
⇒ 2x2 - 2x2 + 9x - 22x = 60
⇒ -13 x = 60
x = `-60/13 = -4 8/13`
APPEARS IN
संबंधित प्रश्न
Solve the following equation:
`1/("x - 1") + 2/("x" - 2) = 3/("x" - 3)`
Solve the following equation:
`1/("x" - 1) - 1/"x" = 1/("x" + 3) - 1/("x" + 4)`
The length of a rectangle is twice its width. If its perimeter is 54 cm; find its length.
The difference of two numbers is 3 and the difference of their squares is 69. Find the numbers.
Two consecutive natural numbers are such that one-fourth of the smaller exceeds one-fifth of the greater by 1. Find the numbers.
Solve: `(3"x" - 2)/3 + (2"x" + 3)/2 = "x" + 7/6`
Given that x ≥ y. Fill in the blank with suitable inequality sign
x + 6 `square` y + 6
Solve the following inequation
x – 6 < 1, where x is a natural number
An artist can spend any amount between ₹ 80 to ₹ 200 on brushes. If cost of each brush is ₹ 5 and there are 6 brushes in each packet, then how many packets of brush can the artist buy?
Solve the following inequalities
4n + 7 ≥ 3n + 10, n is an integer
