Quadratic formula | solving the quadratic equations | Word problems
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.
Word problems on Quadratic Equation (Problems on Numbers)
00:02 CBSE Class 10 maths NCERT Solutions chapter 10 Quadratic Equations Q4. 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.
00:04 From step:1 00:16 From step:2 00:45 From step:3
01:06 How to write quadratic equation in standard form
02:37 Solve the quadratic equation by quadratic formula
04:45 CBSE Class 10 maths NCERT Solutions chapter 10 Quadratic Equations Q5. 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.
04:47 From step:1 5:15 From step:2 06:15 From step:3 08:08 solve by applying Quadratic formula
09:35 CBSE Class 10 maths NCERT Solutions chapter 10 Quadratic Equations 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.
09:37 09:59 10:48 Pythagoras' Theorem Application:It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
11:09 Express quadratic equation in Standard form.
12:56 solution of quadratic equation by applying quadratic formula.
15:14 CBSE Class 10 maths NCERT Solutions chapter 10 Quadratic Equations 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.
15:16 From step:1 15:30 From step:2 16:10 From step:3 17:00 From step:4
17:03 Quadratic formula
19:37 CBSE Class 10 maths NCERT Solutions chapter 10 Quadratic Equations 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.
19:39 From step:1 19:55 From step:2 21:35 From step:3
21:44 Express in standard form of quadratic equation.
22:50 Quadratic formula
24:43 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.
24:45 From step:1 25:06 From step:2 27:45 From step:3 30:52 Use quadratic formula.
34:00 CBSE Class 10 maths NCERT Solutions chapter 10 Quadratic Equations 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.
34:02 From step:1 34:30 From step:2 36:40 From step:3
37:14 Write quadratic equation in standard form
38:53 discriminant and nature of roots
39:30 Quadratic formula application
42:01 CBSE Class 10 maths NCERT Solutions chapter 10 Quadratic Equations Q11. 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.
42:03 From step:1 42:21 From step:2 44:00 From step:3
45:51 nature of roots using discriminant
46:27 Quadratic formula
Reference book for the above video is
National Council of Educational Research and Training (NCERT) Book for Class 10 Subject: Maths
This Video is also refers as CBSE Class 10 mathts NCERT Solutions Chapter 9 Quadratic Equations
This video is suited for CBSE Class 10 maths Quadratic Equations.
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