# NCERT Solutions For Class 10 Maths Chapter 4 Quadratic Equations Ex 4.2

### Ex 4.2 Class 10 Maths Question 1.

Find the roots of the following quadratic equations by factorisation:
(i) x2 -3x – 10 = 0
(ii) 2x2 + x – 6 = 0
(iii) √2x2 + 7x + 5√2 = 0
(iv) 2x2 – x + 1/8 = 0 8
(v) 100 x2 – 20 X + 1 = 0

#### Solution for Ex 4.2 Class 10 Maths Question 1 ### Ex 4.2 Class 10 Maths Question 2.

Solve the following situations mathematically:
(i) John and Jivanti together have 45 marbles. Both of them lost 5 marbles each and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.
(ii) A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was Rs. 750. We would like to find out the number of toys produced on that day.

### Ex 4.2 Class 10 Maths Question 3.

Find two numbers whose sum is 27 and product is 182.

### Ex 4.2 Class 10 Maths Question 4.

Find two consecutive positive integers, the sum of whose squares is 365.

### Ex 4.2 Class 10 Maths Question 5.

The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.