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 the following equation:
20 = 6 + 2x
Solve the following equation:
`(3"x" + 2)/("x" - 6) = -7`
Separate 178 into two parts so that the first part is 8 less than twice the second part.
The length of a rectangle is twice its width. If its perimeter is 54 cm; find its length.
A man is 42 years old and his son is 12 years old. In how many years will the age of the son be half the age of the man at that time?
Solve:
`1/10 - 7/x = 35`
Solve: `"x" + 7 - "8x"/3 = "17x"/6 - "5x"/8`
Solve: `(3"x" - 2)/3 + (2"x" + 3)/2 = "x" + 7/6`
Solve: `("6x" + 1)/2 + 1 = ("7x" - 3)/3`
The sum of two numbers is 405 and their ratio is 8 : 7. Find the numbers.
