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Euclid’s Division Lemma/Algorithm Type Question

  Euclid’s Division Algorithm > Question  EUCLID’S DIVISION ALGORITHM QUESTION Q. If the HCF of 468 and 222 is expressed as 468x + 222y , then x = ?  Solution :  Here, 468 > 222 ,  So, By Euclid’s division lemma, 468 = 222 × 2 + 24                        (i) Here, Remainder is 24 ≠ 0 , So, We apply euclid’s division lemma to 222 and 24. 222 = 24 × 9 + 6                          (ii) Again,R is 6 ≠ 0 , So, We apply euclid’s division lemma to 24 and 6. 24 = 6 × 4 + 0                              (iii) At this stage remainder is 0, so the  HCF (468, 222) = 6  Now, from (ii) ,  6 = 222 – 24 × 9 6 = 222 – (468 – 222 × 2) × 9     6 = 222 – 468 × 9 + 222 × 2 × 9 6 = 468 × (–9) + 222 × 19 So, Now we can write the HCF(468,222) can be wri...
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Mathematics : Relation between zeroes and coefficient of a polynomial.

Relationship between zeroes and coefficients of a linear polynomial Today we are going to learn the relationship between "zeroes" and "coefficients" of a linear and quadratic polynomial.  As we know that the general form of a linear polynomial is as following :  ax + b  , where a≠0 , a and b are real numbers and x is a variable.  So, from here we can say that the zero of a linear polynomial will ax + b = 0  ax = –b  x = –b/a  So, for any linear polynomial, say ax + b , the zero of polynomial will –b/a  So, here b is a constant term where a is coefficient of x  Hence,  Zero of a linear polynomial =  –(Constant term)/Coefficient of x  Let's take some examples.  Let consider 3x + 8  We know that  3x + 8 = 0  3x = –8  x = –8/3  Here zero of polynomial p(x) = 3x + 8 is –8/3 But as we proved that zero of a linear polynomial =  –(Constant term)/Coefficient of x So,  Here , Constant term = 8...
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Science : Acids, Bases and Salts

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Introduction : We are here on social media sites with a purpose. Our purpose is "to provide the best and free education to every student of our society".  Our social media links : As we are currently only on YouTube, because it is more than enough to share our knowledge to you. So, you can go on our YouTube channel to enhance your knowledge. Our YouTube channel Our YouTube channel name is similar to this blog "Knowledge Intensive". Channel link is here : Go to our YouTube channel What you can do as contribution ? Dear friends, As you know that our purpose is very worthwhile. So, we will happy to see that you will be a member of our education family. We are not saying you to taking membership. The only thing you should do as a contributor is "subscribe" our channel.  Our video :  About video : In this video of chemistry for class 10 (explained in hindi), we have discussed all the properties of "Acids". It is a most important topic of the chapter “...
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