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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 .