If f(y) = x² + (2p + 1)x + p² - 1 and x is a real number, for what values of ‘p' the function becomes 0?

A merchant decides to sell off 100 articles a week at a selling price of Rs. 150 each. For each 4% rise in the selling price he sells 3 less articles a week. If the selling price of each article is Rs x, then which of the below expression represents the number of articles sold by the merchant in that week?

One-fifth of a number is equal to 5/8^th of another number. If 35 is added to the first number, it becomes four times of the second number. Find the second number.

John's present age is one fourth of his father's age two years ago. John's father's age will be twice Raman's age after 10 years. If Raman's 12th birthday was celebrated 2 years ago, then what is John's present age?

If x + 1 = x² and x > 0, then 2x⁴ is: