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NCERT Class 10 Mathematics Solutions: Chapter 4- Quadratic Equations Exercise 4.3 Part 5

1. The difference of squares of two numbers is . The square of the smaller number is times the larger number. Find the two numbers.

Answer:

Consider the larger number is x and smaller number is y

As per the question,

The larger number cannot be negative, but the smaller number will be negative. It is not possible.

Smaller number

So, the numbers are 18 and12.

2. A train travels at a uniform speed. If the speed had been more, it would have taken hour less for the same journey. Find the speed of the train.

Answer:

Consider the speed of the train be

Time taken to cover

As per the question,

Speed cannot be negative.

The speed of train is .