Advertisements
Advertisements
प्रश्न
Solve the following equation:
`1/("x" - 1) - 1/"x" = 1/("x" + 3) - 1/("x" + 4)`
Advertisements
उत्तर
`1/("x" - 1) - 1/"x" = 1/("x" + 3) - 1/("x" + 4)`
`=> ("x" - ("x" - 1))/(("x" - 1)"x") = (("x" + 4)-("x" + 3))/(("x" + 3)("x" + 4))`
`= 1/(("x" - 1)"x") = 1/(("x" + 3)("x" + 4))`
= (x + 3)(x + 4) = x(x - 1)
⇒ x2 + 4x + 3x + 12 = x2 - x
⇒ x2 + 7x - x2 + x = -12
8x = -12
x = `-12/8 = - 3/2 = - 1 1/2`
APPEARS IN
संबंधित प्रश्न
Solve: 0.25 + `1.95/"x" = 0.9`
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.
Solve: `"x" + 7 - "8x"/3 = "17x"/6 - "5x"/8`
Solve: `2/"5x" - 5/"3x" = 1/15`
Solve: `("6x" + 1)/2 + 1 = ("7x" - 3)/3`
The sum of two numbers is 4500. If 10% of one number is 12.5% of the other, find the numbers.
Solve the following inequation
x ≤ 7, where x is a natural number
Solve the following inequation
x – 6 < 1, where x is a natural number
Solve the following inequation
4x – 9 > – 33, where x is a negative integer
Solve the following inequalities
−13 ≤ 5x + 2 ≤ 32, x is an integer
