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​If a an b are the roots of the equation x2-5x - 6 = 0 , then the value of (a - b)2 is​
Question

​If a an b are the roots of the equation x2-5x - 6 = 0 , then the value of (a - b)2 is​

A.

24

B.

49

C.

18

D.

25

Correct option is B

Given:

 x2-5x - 6 

Solution: 

x2​ - 5x - 6         

= x2- 6x + 1x - 6 

=  x(x - 6) + 1(x - 6)

= (x-6) (x+1) 

Roots of the equation x = 6, -1      

a = 6, b  = -1 

So, 

(a - b)2 = (6 - ( -1))2​ = (6 + 1)2​ = (7)2​ =  49 

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