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: 0.25 + `1.95/"x" = 0.9`
Fifteen less than 4 times a number is 9. Find the number.
If Megha’s age is increased by three times her age, the result is 60 years. Find her age
A number decreased by 30 is the same as 14 decreased by 3 times the number; Find the number.
A man completed a trip of 136 km in 8 hours. Some part of the trip was covered at 15 km/hr and the remaining at 18 km/hr. Find the part of the trip covered at 18 km/hr.
The difference of two numbers is 3 and the difference of their squares is 69. Find the numbers.
Solve: `(3"x" - 2)/4 - ("2x" + 3)/3 = 2/3 - "x"`
Solve: `("6x" + 1)/2 + 1 = ("7x" - 3)/3`
Linear inequation has almost one solution
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?
