Quadratic formula | Solve word problems on Quadratic equations

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In this video, you will study quadratic equations, and various ways of finding their roots.A quadratic equations can be solved by any one the given methods (i)Method of completing the square (ii)Factoring quadratic equation (iii) Quadratic Formula.

Quadratic Formula is derived from Method of completing the square.To find roots of any quadratic equation by Quadratic Formula,we first need to find the Discriminant of quadratic equation.If Discriminant less than zero no real roots exist for given quadratic equation.If Discriminant is greater than zero, real roots exist.If Discriminant is zero then roots of quadratic equation are equal.

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 Q3. Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m^2? If so, find its length and breadth.

00:04 From step:1 00:18 From step:2 00:58 From step:3 01:12 From step:4 Solve the quadratic equation by appliying square roots

02:16 Q4. Is the following situation possible? If so, determine their present ages.The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.

02:18 02:40 03:50 Frame the quadratic equation

03:56 Convert quadratic equation in standard form

05:02 Quadratic formula

05:38 Discriminant of quadratic equation is lessthan zero.

05:57 Q5. Is it possible to design a rectangular park of perimeter 80 m and area 400 m2? If so, findits length and breadth.

05:58 From step:1 06:14 From step:2 06:38 From step:3

07:06 Area of rectangular plot

07:33 Write quadratic equation in standard form

07:50 Solution of quadratic equation by quadratic formula.

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