CBSE class 10 maths quadratic equations solutions Ex 4.3 | Word problems

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00:02 CBSE class 10 maths quadratic equations solutions Ex 4.3 Q1 Find the roots of the following quadratic equations, if they exist, by the method of

completing the square:

Q1 (i) 2x^2– 7 x + 3 = 0

00:38 Discriminant of Quadratic Equation

01:34 add Square of half of coefficient of x

04:12 Obtain roots of quadratic equation

05:10 CBSE class 10 maths quadratic equations solutions Ex 4.3 Q1 (ii) 2x^2 + x – 4 = 0

05:28 Find Discriminant of Quadratic Equation

06:30 add Square of half of coefficient of x

08:44 find roots of quadratic equation

09:13 CBSE class 10 maths quadratic equations solutions Ex 4.3 Q2. Find the roots of the quadratic equations given in Q.1 above by applying the quadratic formula.

09:28 (i)

10:52 Use quadratic formula to find the roots of Quadratic Equation

12:37 CBSE class 10 maths quadratic equations solutions Ex 4.3 Q2 (ii)

13:19 Determine discriminant of Quadratic Equation

14:05 Apply quadratic formula

15:16 Q2 (iii)

16:00 discriminant of Quadratic Equation

17:06 The solution of quadratic equation is given by Quadratic formula

19:00 roots does not exist for the given Quadratic Equation

19:34 Q3 3. Find the roots of the following equations:

22:00 quadratic formula

23:16 (ii)

26:16 Apply quadratic formula

27:39 Q4 Word problems on Quadratic Equation (Problems on Ages)

The sum of the reciprocals of Rehman’s ages, (in years) 3 years ago and 5 years from now is 1/3.Find his present age.

28:29 Denote the unknown by a small letter like x, y, etc.,.,

28:29 From the given condition, frame the quadratic equation Involving the unknown.

30:37 Solve the equation by Quadratic formula.

Steps to solve Word Problems:

Step 1:Read the problem carefully to know what is given and what to find out.

Step 2:Denote the unknown by a small letter like z, p etc.

Step 3:From the given condition, frame the quadratic equation Involving the unknown.

Step 4:Solve the equation by Quadratic formula.

32:23 CBSE class 10 maths quadratic equations solutions Ex 4.3 Q5 Word problems on Quadratic Equation (Problems on Marks)

In a class test, the sum of Shefali’s marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects.

32:24 Apply step:1 32:51 Apply step:2 33:56 Apply step:3 35:26 Apply step:4

37:14 CBSE class 10 maths quadratic equations solutions Ex 4.3 Q6 The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.

37:18 From step:1 37:35 From step:2 38:38 From step:3 40:35 From step:4

42:52 CBSE class 10 maths quadratic equations solutions Ex 4.3 Q7 The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.

42:56 From step:1 43:07 From step:2 43:44 From step:3 44:43 From step:4

47:16 Q8 A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train.

47:20 From step:1 47:34 From step:2 48:58 From step:3 51:06 From step:4

52:23 CBSE class 10 maths quadratic equations solutions Ex 4.3 Q9 Two water taps together can fill a tank in 9 and 3/8 hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

52:28 From step:1 52:43 From step:2 55:16 From step:3 58:34 From step:4.

01:01:39 CBSE class 10 maths quadratic equations solutions Ex 4.3 Q10 An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11km/h more than that of the passenger train, find the average speed of the two trains.

01:01:44 From step:1 01:02:13 From step:2 01:04:25 From step:3 01:07:09 From step:4.

01:09:40 CBSE class 10 maths quadratic equations solutions Ex 4.3 Q11 11. Sum of the areas of two squares is 468 m^2. If the difference of their perimeters is 24 m, find the sides of the two squares.

01:09:42 From step:1 1:09:56 From step:2 1:11:43 From step:3 1:12:56 From step:4Follow us:

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