Advertisements
Advertisements
Question
Solve the following equation:
`1/("x" - 1) - 1/"x" = 1/("x" + 3) - 1/("x" + 4)`
Advertisements
Solution
`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
RELATED QUESTIONS
Solve the following equation:
`(3"x" + 2)/("x" - 6) = -7`
Solve: `(3"x" - 2)/3 + (2"x" + 3)/2 = "x" + 7/6`
Solve: `"x" - ("x" - 1)/2 = 1 - ("x" - 2)/3`
A man sold an article for ₹ 396 and gained 10% on it. Find the cost price of the article
The sum of two numbers is 4500. If 10% of one number is 12.5% of the other, find the numbers.
The sum of two numbers is 405 and their ratio is 8 : 7. Find the numbers.
The numerator of a fraction is 5 less than its denominator. If 3 is added to the numerator, and denominator both, the fraction becomes`4/5`. Find the original fraction.
Given that x ≥ y. Fill in the blank with suitable inequality sign
x + 6 `square` y + 6
Solve the following inequation
4x – 9 > – 33, where x is a negative integer
The cost of one pen is ₹ 8 and it is available in a sealed pack of 10 pens. If Swetha has only ₹ 500, how many packs of pens can she buy at the maximum?
