Algebra math help with quadratic equations | Course on quadratic equations
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 :
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.
02:25 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.
03:59 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.
10:57 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
15:26 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
1:03:30 Discriminant of Quadratic Equation
1:04:30 Discriminant less than zero.No real roots exits.
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