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Solve: √3x2 + 10x – 8√3 = 0.
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
using
=
And either of their sum or difference = b
=
Thus the two terms are
Difference =
Product =
√3 x(x + 4√3 )-2(x + 4√3) = 0
(√3 x-2)(x + 4√3) = 0
Hence roots of equation are
Solve: