RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 10. Quadratic Equations

Subject: Maths - Class 10th

Q. No. 36 of Exercise 10A

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36

Solve each of the following quadratic equations:


(taking LCM)


Using the splitting middle term - the middle term of the general equation is divided in two such values that:


Product = a.c


For the given equation a = 16; b = - 8 ;c = 1


= 16.1 = 16


And either of their sum or difference = b


= - 8


Thus the two terms are - 4 and - 4


Sum = - 4 - 4 = - 8


Product = - 4. - 4 = 16




4x(4x-1)-1(4x-1) = 0


(4x-1)(4x-1) = 0


(4x-1) = 0 or (4x-1) = 0



The equation has repeated roots


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