Question
I. (2x-3)3+  1/((2x-3)³)=2 II. Â
4y²+(y+8)^2= 157 In the following questions two equations numbered I and II are given. You have to solve both the equations. Give answer if;Solution
let 2x-3=a (2x-3)3+  1/((2x-3)³)=2 a³+  1/(a³ )=2 a6+ 1=2a³ a6- 2a³+1=0 (a3- 1)2= 0 a³=1 a=1 2x-3=1 2x=4 x=2 4y²+(y+8)2= 157 4y²+y²+64+16y=157 5y²+16y-93=0 5y2-15y+31y-93=0 5y(y-3)+31(y+3)= 0 5y(y-3)+31(y- 3)= 0 y=3,-31/5 Hence, no relationship cannot be established between x and y.
Mr. Murthy invested Rs.16,000 in a scheme. How muck will he get on maturity, if he invested it at 20% per annum compound interest for 9 months, compound...
K and L started a business by investing Rs. (q + 900) and Rs. (3q - 1800), respectively. If K's profit share was Rs.27,000 out of a total profit of Rs.6...
A and B enter into a partnership with their initial sum of Rs.32000 and Rs.40000 respectively. After 8 months, a third person C also joins them with his...
A invested Rs X in a scheme. After 6 months, B joined with Rs 3000 more than that of A. After an year, ratio of profit of B to the total profit was 5: 9...
A started a retail business by investing Rs.28,000. After eight months B joined him with a capital of Rs.54,000. After 2 years, they earned a profit of...
In a factory with 8750 workers, 44% are men, and the remaining are women. 60% of the men and 45% of the women work as managers, out of which only 160 me...
Akshay and Akhil invest in a business in the ratio 4:1. If 10% of the total profit goes to charity and Akshay's share is Rs. 864.Then find the total pro...
A and B started a business with the investments of Rs. (y-2000) and Rs. (y+4000) respectively. After 4 months of the start of the business, B left it an...
‘A’ and ‘B’ together started a business by investing their capitals in ratio 3:2, respectively. Nine months later, they both invested Rs. 500 mo...
A and B together start a business with investment of Rs. 2200 and Rs. (x + 500), respectively. If the profit earned after 5 years is Rs. 5000 and share ...
