Quadratics Formula examples | Quadratic Formula | CBSE Class 10 maths

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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.

Standard form of quadratic equation

First combine all the like terms in the quadratic equation.

Secondly, degree of each term must drop from left to right starting from 2.

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 by factoring quadratic equations

Word Problems on Quadratic Equations

00:02 Word problems on Quadratic Equation (Problems based on Digits)

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.

00:05 From step:1 00:18 24:14 From step:2 00:59 25:23 From step:3 01:30 25:50 From step:4

01:51 Quadratic Formula

04:24 Word problems on Quadratic Equation (Problems based on Time and speed)

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.

04:26 From step:1 04:42 From step:2 06:20 From step:3

06:24 Writting quadratic equation in Standard Form.

07:52 Quadratic Formula Application to solve the problem

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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