Q. 505.0( 1 Vote )

Solve: √3x2 – 2√2x – 2√3 = 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


using


=


And either of their sum or difference = b


=


Thus the two terms are


Difference =


Product = = - 6




√3 x(x-√6) + √2(x-√6) = 0


(√3 x + √2)(x-√6) = 0


(√3 x + √2) = 0 or (x-√6) = 0



Hence roots of equation are


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