Q. 534.0( 2 Votes )

Solve: x2 + 5x – (a2 + a – 6) = 0

Answer :

Using 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 = 1 b = 5 c =


=


And either of their sum or difference = b


=


Thus the two terms are


Difference =


=


Product =


=






x[x + (a + 3)] - (a - 2)[x + (a + 3)] = 0


[x - (a - 2)][x + (a + 3)] = 0


[x - (a - 2)] = 0 or [x + (a + 3)] = 0


x = (a - 2) or x = - (a + 3)


Hence roots of equation are x = (a - 2)or - (a + 3)


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