Question
Solve the quadratic equations and determine the relation
between x and y: Equation 1: 6x² - 24x + 18 = 0 Equation 2: 5y² - 20y + 15 = 0Solution
From equation 1: 6x² - 24x + 18 = 0 Dividing by 6: x² - 4x + 3 = 0 Factorizing: (x - 3)(x - 1) = 0 So, x = 3 or x = 1. From equation 2: 5y² - 20y + 15 = 0 Dividing by 5: y² - 4y + 3 = 0 Factorizing: (y - 3)(y - 1) = 0 So, y = 3 or y = 1. Comparing x and y: x = 3, y = 3, x = y x = 3, y = 1, x > y x = 1, y = 3, x < y x = 1, y = 1, x = y Correct option: E) x = y or no relation
Fresh grapes contain 80% water while dry grapes contain 20% water. How many kilograms of fresh grapes are needed to make 500 grams of dry grapes?
A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets. <...
The population of a city is decreased by 12% in the first year and then increased by 22% in the second year. Find the population of the city at the end...
In a village, number of male, female and children are in the ratio of 3:5:7. If 90% of the males are literate, 80% of females are literate and 40% of ch...
- The income of 'X' is 25% more than that of 'Y'. 'X' and 'Y' save 30% and 15% of their incomes respectively. If the difference between their expenditures is...
- In a class of 5000 students in 2022, 60% were from science stream and rest from commerce. In 2023, science students increased by 33.33% and commerce studen...
- A number is first increased by 25% and then decreased by 25%. The overall change in number is:
A person spent 25% of his monthly income on food and 62% of the remaining on rent. If amount spent on rent is Rs 930, then find the amount spent ...
A spent 30% and 26% of his monthly salary on food and rent, respectively. Of the remaining amount, he gave 20% and 40% to his mother and brother, respec...
Each of the articles was marked 55% above its cost price and while selling ‘y’ % discount was given on it. The selling price of the article M is Rs....