Question
I. 2x2 - 5x - 33 =0 II. 2y2
+ 5y - 25 = 0Solution
I. 2x2 - 5x - 33 = 0 2x2 - 11x + 6x - 33 = 0 x (2x - 11) + 3 (2x - 11) = 0 (x + 3) (2x - 11) = 0 x = - 3, 11/2 II. 2y2 + 5y - 25 = 0 2y2 - 5y + 10y - 25 = 0 y (2y - 5) + 5 (2y - 5) = 0 (y + 5) (2y - 5) = 0 y = - 5, 5/2 Hence, relationship cannot be established between x and y.
If 'R' is the prime number 3, then find the fourth proportion of (R + 2), (R - 1) and (R + 7).
The ratio of speeds of A and B is 3:4 and A takes 15 minutes more than B to reach the destination, how many hours will Be to reach the same place?
An amount is distributed among X, Y, Z, and W in the ratio 3:5:7:4 respectively. If the amount received by Y is Rs. 2,000 , then find the amount receiv...
'A' varies directly as 'B'. If at 'A' = 25, value of 'B' is 40, then find the value of 'A' at 'B' = 96.
A sum of Rs. 723 is divided among X, Y and Z such that X gets Rs. 168 more than Y. Y gets Rs. 78 more than Z. Find the share of Z?
Find the third proportion of 20 and 30.
Shops 'A' and 'B' together purchased a total of 9,200 notebooks in the ratio of 2:7 for shop 'A' and 4:9 for shop 'B'. Shop 'A' managed to sell 25% of i...
$15000 was split between P, Q and R in the proportion of 6:9:15.Q kept $1400 for herself, gave $600 to her grandma and shared the remainder between her ...
In College A, the ratio of boys to girls is 3:2, while in College B, the ratio is 7:3. If 20% of the boys from College A are undergraduates and 60% of t...
The ratio of land and water on the entire Earth is 1:2. If this ratio is 1:4 in the Northern Hemisphere, then what will be this ratio in the Southern He...