Advertisements
Advertisements
प्रश्न
Using the properties of proportion, solve for x, given `(x^4 + 1)/(2x^2) = 17/8`.
उत्तर
`(x^4 + 1)/(2x^2) = 17/8`
Using componendo and dividendo,
`(x^4 + 1 + 2x^2)/(x^4 + 1 - 2x^2) = (17 + 8)/(17 - 8)`
`=> (x^2 + 1)^2/(x^2 - 1)^2 = 25/9`
`=> ((x^2 + 1)/(x^2 - 1)) = (5/3)^2`
`=> (x^2 + 1)/(x^2 - 1) = 5/3`
`=> (x^2 + 1 + x^2 - 1)/(x^2 + 1 - x^2 + 1) = (5 + 3)/(5 -3)` ...(Using componendo and dividendo)
`=> (2x^2)/2 = 8/2`
`=>` x2 = 4
`=>` x = ±2
APPEARS IN
संबंधित प्रश्न
Find the third proportional to `2 2/3` and 4
If a : b = c : d; then show that (ax+ by) : b = (cx+ dy) : d
What least number must be added to each of the numbers 5, 11, 19 and 37, so that they are in proportion?
Find the value of x in the following proportions : x : 50 :: 3 : 2
Write (T) for true and (F) for false in case of the following:
81 kg : 45 kg : : 18 men : 10 men
If 25 : 35 : : 45 : x, then the value of x is
Choose the correct answer from the given options :
The fourth proportional to 3, 4, 5 is
A gets double of what B gets and B gets double of what C gets. Find A : B and B : C and verify whether the result is in proportion or not
The mean proportional to `sqrt(3) + sqrt(2)` and `sqrt(3) - sqrt(2)` is ______.
The table, given below, shows the values of x and y, where x is proportional (directly proportional) to y.
| x | A | 24 | 15 |
| y | 12 | B | 20 |
The values of A and B are:
