Advertisements
Advertisements
Question
Solve the following equation:
`(3"x")/("x" + 6) - "x"/("x" + 5) = 2`
Advertisements
Solution
`(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
RELATED QUESTIONS
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
Separate 178 into two parts so that the first part is 8 less than twice the second part.
Six more than one-fourth of a number is two-fifth of the number. Find the number.
If the same number be added to the numbers 5, 11, 15 and 31, the resulting numbers are in proportion. Find the number.
Solve:
13(x − 4) - 3(x − 9) − 5(x + 4) = 0
Solve:
`(x + 2)/6 - ((11 - x)/3 - 1/4) = (3x - 4)/12`
Solve: `("x" + 2)/3 - ("x" + 1)/5 = ("x" - 3)/4 - 1`
The sum of two numbers is 405 and their ratio is 8 : 7. Find the numbers.
Solve the following inequation
2a + 3 ≤ 13, where a is a whole number
