Question
I. 27x² + 120x + 77 = 0 II. 56y² + 117y
+ 36 = 0Solution
I. 27x² + 120x + 77 = 0 27x² + 21x + 99x + 77 = 0 3x(9x + 7) + 11(9x + 7) = 0 (9x + 7) (3x + 11) = 0 ∴ x = -7/9 , -11/3 II. 56y² + 117y + 36 = 0 56y² + 96y + 21y + 36 = 0 8y(7 y + 12) + 3(7 y + 12) = 0 (8 y + 3) (7 y + 12) = 0 ∴ y = -3/8 , -12/7 Hence, no relationship cannot be established between x and y.
Rahul and Tarun scored marks in the ratio 6:5. If Rahul had scored 4 marks more and Tarun had scored 5 marks less, the ratio of their marks would have b...
Mahika distributed 800 chocolates among A, B and C. A got 50% more chocolates than B and 60% less chocolates than C. How many chocolates did C receive? ...
A plot has to be divided among P, Q and R in the ratio 3:5:7 respectively. If the area of plot received by R is 4200m² more than the area of plot recei...
Two numbers are respectively 60% and 30% more than a third number. Find the ratio of two numbers.
The ratio of income of A and B is 4:9 and their expenditures are in the ratio of 1:4. If the 40% more than the income of A is equal to the expenditure o...
Given that (4A = 5B = 7C), determine the ratio (B:C:A).
A container holds 180 litres of a milk and water mixture, where the amount of milk exceeds the amount of water by 44 litres. If 8 litres of milk and 12 ...
The average height of three boys is 170 cm. If their heights are in the ratio 6:4:7, what is the height of the tallest boy?
What is the ratio whose terms differ by 25 and the measure of which is 2/7?
A vessel contains some milk .6 liter of the milk was taken out of the vessel and replaced with 6 liter of water and again 6 liter of mixture was taken o...
