Question
If x² - 2x + 1 = 0, then find the value of (x⁴ +
x⁻⁴)(x + x⁻¹).Solution
x² - 2x + 1 = 0
x² + 1 = 2x
By dividing both side by 'x' we get,
(x + 1/x) = 2
So, x = 1 [Since we know if (x + 1/x) = 2, then the value of 'x' is 1]
Now, (x⁴ + x⁻⁴)(x + x⁻¹) = (1 + 1)(1 + 1) = 2 × 2 = 4
- If the total cost of 4 chairs and 7 tables is Rs. 410 and the total cost of 3 chairs and 5 tables is Rs. 300, then find the cost of 6 chairs.
A seller marked an article 25% above its cost price and sold it after giving a discount of Rs. 60. If the seller earned a profit of 20% in the transacti...
By selling 72 articles, a loss equal to the selling price of 8 articles was incurred. What is the loss percentage?
A man bought two articles for $800 each. He sold one at a profit of 20% and the other at a loss of 25%. What is the overall profit or loss percentage?
A shopkeeper sells a product for ₹9000 and gains 20%. If he had bought the product at 10% lower cost price, he would have gained 25%. What will be th...
- An article having a cost price of Rs. 400 is marked 50% above its cost price. 'A' proposes to sell this article after two successive discounts of 10% and R...
The cost price of six dozen cupcakes is Rs. 360. After selling 48 cupcakes at the rate of Rs. 108 per dozen, the shopkeeper reduced the rate and sold th...
A businessman increased the price of an equipment by 70% above the cost and sold it with two successive discounts of 12% and 10%. If the profit earned i...
If the cost price of 120 articles is equal to the selling price of 45 articles, find the profit percent.
Cost price of a bag is Rs.980. The shopkeeper marked it 80% above the cost price and sold it after giving a discount of 25%. If the shopkeeper had sold ...
Relevant for Exams:
