Question
If (x – (1/x) = 5√2), then calculate the value of
{(x4 + (1/x4)} ÷ 1351}.Solution
x – 1/x = 5√2
On squaring both sides, we get
(x – 1/x )2 = (5√2)2
Or, x2 + 1/x2 - 2 = 25 X 2
Or, x2 + 1/ x2 = 50 + 2
Or, x2 + 1/x2 = 52
On squaring both sides again, we get
x4 + 1/ x4 + 2 = 2704
Or, x4 + 1/ x4 = 2702
So, (x4 + 1/ x4) ÷ 1351= 2702 ÷ 1351 = 2
- A shopkeeper increased the price of an article by ‘x’% above its cost price and then sold it after applying two successive discounts of 20% and 10%. If...
A person buys two items A and B. Item A costs Rs. 5 more than twice the cost of item B. If the total cost of both items is Rs. 95, find the cost of item B.
An article was marked 80% above the cost price and sold after a discount of Rs. 780. If the selling price of the article is Rs. 1380 then find the cost ...
The CP of a chair is Rs. 700 and the CP of a table is Rs. 900 and marked price of both the items is same. If 20% and 30% discount is given on chair and ...
When a shopkeeper sells 6 articles for Rs 30, he earns a profit of 25%. What will be his gain or loss percent if he sells 14 articles at Rs 61.60?
After selling 60 Fans a shopkeeper earn a profit of the selling price of 18 coolers. While selling 60 coolers a shopkeeper losses the selling price of 2...
A shopkeeper marked an article Rs. 540 above its cost price and sold it after giving a discount of 25% and earned a profit of 35%. Find the cost price o...
Ram sold a plot for Rs.4,00,000 at a 20% loss. For what price should he sell the plot to gain a 5% profit?
A man has 20 liters of pure alcohol. To make a 75% profit while selling it at the original cost price of alcohol, how many liters of water should he mix...
A retailer marks up an item's cost price by 40% and then offers it for sale with a 20% discount. What is the percentage profit made by the retailer on t...
Relevant for Exams:
