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x4 + x - 4 = 47 x4 + 1/x 4 = 47 Add 2 both sides x4 + 1/x 4 + 2 = 49 The above expression is of the form a2 + b2 + 2ab = (a + b)2 where a = x and b = 1/x Then the above expression becomes (x2 + 1/x2)2 =72 Taking square root on both sides (x2 + 1/x2) = 7 Again adding 2 both sides (x2 + 1/x2 + 2) = 9 (x + 1/x)2 = 32 Taking square root on both sides (x + 1/x) = 3
Rs.10800 was divided among A, B and C in the ratio 2:3:4. B kept Rs.1200 for himself, gave Rs.800 to his mother and divided the remaining money among hi...
The total number of students in a school is 21980. If the ratio of boys to the girls in the school is 70:87 respectively, then find the total number of ...
Three numbers are in ratio 6:7:9. If the sum of the squares of those three numbers is 664 then find the sum of the three numbers.
The ratio of heartbreak to emotions is 2:3:4:5 The price of heart is inversely proportional to the square of emotions. If there is a loss of Rs 1420 due...
Rs 11,550 has to be divided between X, Y & Z such that X gets 4/5 of what Y gets and Y gets 2/3 of what Z gets. How much more does Z get over X (in Rs)?
If 'a' is the mean proportion of 12.8 and 0.8 and 'b' is the third proportional to 1.2 and 4.8, then find (a + b) :(b - a) .
The total number of students in a school is 18644. If the ratio of boys to the girls in the school is 73:85 respectively, then find the total number of ...
There are three numbers: A, B, and C. It is given that 45% of A, (3/5) of B, and 1.5 times C are all equal. What is the ratio of A, B, and C?
A sum of Rs.10600 is to be divided among 6 brothers, 5 sisters and 3 aunts. If each sister receives four times as much as each aunt and each brother rec...
Three positive numbers are in the ratio 2:3:4. The sum of their squares is 2349. What is the average of the largest and the second largest number?