- Quadratic Polynomial
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- Graphing quadratics Polynomial
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- what is a quadratic equation
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- How to Solve Quadratic equations
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- Factoring quadratics equations
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- Solving quadratic equations by completing the square
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- Solving quadratic equations by using Quadratic formula
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- Nature of roots of Quadratic equation
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- Problem based on discriminant of a quadratic equation
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- Quadratic word problems

- NCERT Solutions Quadratic Equation Exercise 1
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- NCERT Solutions Quadratic Equation Exercise 2
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- NCERT Solutions Quadratic Equation Exercise 3
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- NCERT Solutions Quadratic Equation Exercise 4

We have seen how to solve the quadratic equations ,now lets take a look at the real world problem and how we can apply the quadratic equation formula to solve them

Let start with an example

In a class test, the sum of Rekha 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.

First we need to carefully read the problem and understand the situation. Here we need to find marks. Let us marks in Maths as x,

then as per problem

Marks in English would be = 30 -x

Now If she got 2 marks less,then Maths marks would = (x-2)

If she got 3 marks less in english,then english m

arks would = (30 -x-3)= (27-x)

As per problem, the product is equal to 210 so

(x-2)(27-x) =120

-x

or

x

So this is quadratic equation , we can solve by any methods, Solving by factoring method

x

or x =12 or 13

So Rekha maths marks is 12, the english marks are 18

and Rekha maths marks is 13, the english marks are 17

Similary we can solve the other quadratic word problems

2) Now looks for the condition, operations given in the word problem and find all the other quantities in term of variable x

Here are some of the operation which you can find in word problem and their mathematical meaning

Addition: added to, combined, increased by, more than, sum, total, from now

Subtraction: decreased by, difference of, less than,ago

Multiplication: increased by a factor of, multiplied by, times,product

Division: out of, per, ratio of

Equals: are, gives, is, will be

3) Now go for the condition given in the problem and formula the mathematical equation

4) You can rearrange them to form of quadratic equation

5) Now you can solve the equation using factorization, square method or quadratic formula

6) Both the roots may not satisfy the word problem, so always verify it with the problem.Many times negative roots are not the solution of word problem

Check out Quadratic equation Quiz

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- Mathematics (Class 10) by RD Sharma
- NCERT Solutions - Mathematics Class 10
- NCERT Exemplar Mathematics Problems - Solutions (Class 10)
- Board + IIT - JEE Foundation Mathematics (Class 10) by disha experts
- Mathematics Foundation Course for JEE/AIPMT/Olympiad Class : 10 (by mtg)
- Board + PMT/ IIT Foundation for JEE Main / Advanced: Science & Mathematics, Class - 10
- Class Companion - Class 10 Mathematics