 ## Book: RS Aggarwal - Mathematics

#### Subject: Maths - Class 10th

##### Q. No. 59 of Exercise 10A

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59
##### Solve each of the following quadratic equations: Given:  taking LCM using (a - b)2 = a2 + b2 - 2ab 8x2 - 8x + 4 = 17x2 - 17x cross multiplying

9x2 - 9x - 4 = 0

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 = 9 b = - 9 c = - 4

= 9. - 4 = - 36

And either of their sum or difference = b

= - 9

Thus the two terms are - 12 and 3

Sum = - 12 + 3 = - 9

Product = - 12.3 = - 36

9x2 - 9x - 4 = 0

9x2 - 12x + 3x - 4 = 0

3x(3x - 4) + 1(3x - 4) = 0

(3x - 4) (3x + 1) = 0

(3x - 4) = 0 or (3x + 1) = 0 Hence the roots of equation are 59

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