(Q) Find the two consecutive positive integers, sum of whose squares is 365. Ans: Let’s the 1st number be Next number has to be consecutive and hence next number will be It is given that sum of the squares of these two number is 365 Here, we reject x = – 14 because it is […]
4.2.4: Find the two consecutive positive integers, sum of whose squares is 365. Read More »
(Q) A takes 6 days less than the time taken by B to finish a piece of work. If both A and B together can finish it in 4 days, find the time taken by B to finish the work. Ans: Let’s assume B alone takes X days to finish the work. (Note: Here, we
A takes 6 days less than the time taken by B to finish a piece of work. If both A and B Read More »
(Q) A shopkeeper buys a number of books for Rs. 80. If he had bought 4 more for the same amount each book would have cost Rs. 1 less. How many books did he buy? Ans: Let the shopkeeper buy X number of books. By the given condition, cost of X books = Rs. 80
A shopkeeper buys a number of books for Rs. 80. If he had bought 4 more for the Read More »
Q) Solve the following quadratic equations by factorization method: Ans: Please do press “Heart” button if you liked the solution.
Solve the following quadratic equation by factorization method: 4(√3)x2 + 5x – 2√3 = 0 Read More »
Q) Solve the following quadratic equations by factorization method: Ans: Please do press “Heart” button if you liked the solution.
Solve the following quadratic equation by factorization method: 1/(a+b+x) = 1/a + Read More »
Q) A train travels at a certain average speed for a distance 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than the original speed. If it takes 3 hours to complete total journey, what is its original average speed? Ans: Let’s consider the original average speed
Q) A train travels 360 km at a uniform speed. If the speed had been 5 km/hr more, it would have taken 1 hour less for the same journey. Find the speed of the train. Ans: Let’s consider the speed of the train is X km/hr. Now, to cover distance of 360 km, it will take
Q) Solve the following quadratic equation by factorization method: Ans: The Constant term can also be presented as: Similarly, Coefficient of the middle term can be presented as: Now, the original quadratic equation: Or, Now, if and if Please do press “Heart” button if you liked the solution.
Q) Solve the following quadratic equation by factorization method: Ans: The Constant term can also be presented as: Similarly, Coefficient of the middle term can be presented as: Now, the original quadratic equation: Please do press “Heart” button if you liked the solution.
Solve the following quadratic equation by factorization method: 4×2−2(a2+b2)x+a2b2=0 Read More »
Q) Solve the following quadratic equation by factorization method: Ans: The Constant term can also be presented as: Similarly, Coefficient of the middle term can be presented as: Now, the original quadratic equation: and and Please do press “Heart” button if you liked the solution.