Algebra math help with quadratic equations | Course on quadratic equations

http://www.learncbse.in/ncert-class-10-math-solutions/

http://www.learncbse.in/rd-sharma-class-10-solutions-chapter-08-quadratic-equations/

Course details

00:02 Define quadratic equation in standard form

03:48 Quadratic equation for beginners (in real life)

15:00 Solve quadratic equation by factoring

20:45 Factoring quadratic expressions

27:00 Solution of Quadratic Equations by Factorisation Word problem

44:12 Method of completing square

53:26 Quadratics Formula

1:02:56 Nature of roots of quadratic equations

01:09:38 Nature of roots discriminant of a quadratic equation examples

Method of completing square

00:02 Define quadratic equation | Write Quadratic equation in standard form.

00:04 Q1 Check whether the following are quadratic equations :

00:15 (i)

01:30 Any equation of the form ax^2 + bx + c = 0, where p (x) is a polynomial of degree 2 and a is not equal to zero, is a quadratic equation.Obtain a,b and c values.

02:15 (ii)

02:25 Express quadratic equation in standard form.

03:08 General form of quadratic equation:Any equation of the form ax^2 + bx + c = 0, where p (x) is a polynomial of degree 2 and a is not equal to zero, is a quadratic equation.Obtain a,b and c values.

Algebra | quadratic equation for beginners | Examples of quadratic equations in real life

03:48 Q2 Word problems on Quadratic Equations.

03:58 (i)

03:59 Step 1:Read the problem carefully to know what is given and what to find out.

04:16 Step 2:Denote the unknown by a small letter like x, y etc.

04:50 Step 3:From the given condition, frame the quadratic equation involving the unknown.

10:39 (iv)

10:57 Step 2:Denote the unknown by a small letter like x, y etc.

11:11 Apply time = distance over speed

12:23 Frame quadratic equation.

13:00 Convert Quadratic equation in standard form.

15:00 solve quadratic equation by factoring

15:13 (i)

15:26 Factorise-splitting of middle term.

Factorise quadratic polynomials

16:55 (iii) Procedure for factorising quadratic polynomials

18:52 (iv) Factorisation quadratic polynomial

solving quadratic equation by Factorisation Method

20:45 solving quadratic equation by factoring example 2

22:42 How to solve quadratic by factorising example 5

24:47 Roots of quadratic equation by factoring example 4

Solution of Quadratic Equations by Factorisation | Word problems

27:00 Q2 Represent the following situations in the form of quadratic equations and solve by factorisation:

Word problems on Quadratic Equation (Problems on Numbers)

36:46 Word problem 3 Find two numbers whose sum is 27 and product is 182.

36:50 From step:1 36:55 From step:2 37:30 From step:3 37:42 From step:4

39:40 Word problem 4 Find two consecutive positive integers, sum of whose squares is 365.

39:42 From step:1 39:52 From step:2 40:19 From step:3 41:47 From step:4

Method of completing square

44:12 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

44:50 Discriminant of Quadratic Equation

45:47 add Square of half of coefficient of x

47:50 Obtain roots of quadratic equation

49:14 Q1 (ii) 2x^2 + x – 4 = 0

49:44 Find Discriminant of Quadratic Equation

50:42 add Square of half of coefficient of x

51:35 Find roots of quadratic equation

Quadratics Formula Word problems

53:26 Word problem based on Quadratics Formula

53:30 Word problem 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.

53:31 From step:1 53:37 From step:2 54:20 From step:3 54:14 From step:4 (Quadratic formula)

57:50 Word problem 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.

57:52 From step:1 58:11 From step:2 59:38 From step:3 1:01:40 From step:4

1:00:00 Convert quadratic equation in standard form.

Nature of roots of quadratic equations

1:02:56 Q1.

1:03:00 (i)

1:03:30 Discriminant of Quadratic Equation

1:04:30 Discriminant less than zero.No real roots exits.

01:04:18 (ii)

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