Question
In a tennis tournament, each player played one game with
all the other players. How many players participated in the tournament if they played 300 games in all?Solution
According to the question, n C2 = 300, where n is the number of players (n(n - 1))/2 = 300 n2 - n - 600 = 0 n2 -25n + 24n - 600 = 0 n(n - 25) + 24(n - 25) = 0 (n - 25)(n + 24) n = 25
I. 2x2 – 5x – 63 = 0
II. 2y2 – 7y – 72 = 0
If x2Â - 3x - 18 = 0 and y2Â + 9y + 18 = 0, which of the following is true?
Solve the given two equations and answer the two questions that follow as per the instructions given below.
I. (1/4) + 7.5p(-2) = 3.62...
I. 2x2 + 3x - 9 = 0
II. 3y2 - y - 10 = 0
I. x2 + x – 42 = 0
II. y2 + 6y – 27 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 20x + 96 = 0
Equation 2: y² - 18y + 72 = 0
I. x2 – 12x + 32 = 0
II. y2 + y - 20 = 0
l. x2 - 16x + 64 = 0
II. y2Â = 64
I. x2 - 5x - 14 = 0
II. y2 - 16y + 64 = 0
I. 10x² - 11x + 3 = 0
II. 42y² - 23y – 10 = 0