Question
I. 195x² - 46x - 21 = 0 II. 209y² + 13y - 12 =
0Solution
I. 195x² - 46x - 21 = 0 195x² + 45x - 91x - 21 = 0 15x(13x + 3) - 7(13x + 3) = 0 (13x + 3) (15x – 7) = 0 ∴ x = 7/15, -3/13 II. 209y² + 13y - 12 = 0 209y² + 57y - 44y  - 12 = 0 19y(11y + 3) – 4(11y + 3) = 0 (19y – 4) (11y + 3) = 0 ∴ y = 4/19, -3/11 Hence, relationship cannot be established between x and y Alternate Method: Remember whenever constant value of both the quadratic equations are - ve, there is no need to find the exact value of roots. In this case, there will be always no relation between x & y. Hence relationship between x & y cannot be established. Â
An army lost 20% its men in war, 20% of the remaining due to diseases and 20% of the rest were disabled. Thus, the strength was reduced to 64,000 active...
A scored 40% marks and failed by 40 marks whereas B scored 70% marks, which was 80 more than the passing marks of the examination. Find the total marks ...
From the salary of a software engineer, if 15% is used as house rent, 25% of the remaining is spent on household items, 25% of the remaining as income t...
Meenu spent 15% of the salary on entertainment and 15% on makeup. She spent 20% of the remaining on the food and 50% of the remaining invested in mutual...
In an election, 10% of the 15000 votes were declared invalid. The winning candidate got 60% of the valid votes. How many votes did he get?
In an election, 10% of the total registered voters did not cast their votes. Two candidates contested. The winner secured 55% of the votes cast and won ...
In a scholarship test, 'P' achieved 28% of the total marks and fell short of passing by 45 marks. Meanwhile, 'Q' scored 44% of th...
A’s salary is 25% more than B’s salary. By what percent is B’s salary less than A’s salary?
- Amit spends 68% of his income and saves Rs. 7,680. Calculate the income of his cousin who earns 15% more than him.
In an examination having total 300 questions, in the first section having 180 questions. A student got 75% marks in first section, but he got 83% marks ...
Relevant for Exams:
