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(i) 2x² – x – 3 = 0 => 2x² + 2x - 3x – 3 = 0 => 2x (x + 1) - 3 (x + 1) = 0 => (x + 1) (2x - 3) = 0 => x = 3/2, – 1 (ii) 2y² – 6y + 4 = 0 => 2y² – 2y – 4y + 4 = 0 => 2y (y – 1) – 4 (y – 1) = 0 => (y – 1) (2y – 4) = 0 => y = 1, 2 No relation can be established between x and y.
What does the "Word Count" feature in a word processing software typically provide?
A person, 'Q', uses 40% of their monthly income on food and then spends 60% of what is left on rent. After covering these expense...
I). p 2 – 5p – 126 = 0
II). q 2 + 9q – 90 = 0
Income of A is twice the income of B. B and A spend 55% and 65% respectively of their incomes. Find the savings of A, if B saves Rs. 18000 in a month.
28, 52, 84, 124, 172, ?.
315 people went to a park. The number of men is 25 more than the number of women and the number of adults is 15 more than the number of children. How ma...
Pipe P can fill a tank by itself in 16 hours, while pipe R can empty the tank in 36 hours when it is full. Together, pipes P and ...
Ayush invested a certain amount at a compound interest rate of 20% per annum, compounded annually, for 2 years and earned Rs. 2,3...
Three colleagues, M, N, and O, have an average age of 27. Ten years ago, their ages were in the ratio of 4:6:7. What is the average age of M and N today?
A triangle has sides 7 cm, 24 cm, and 25 cm. A circle is inscribed in the triangle. What is the area of the triangle not covered by the circle?
