Q. 264.3( 6 Votes )

Solve each of the following quadratic equations:

3x2 – 2√6x + 2 = 0

Answer :


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 = 3; b = -2√(6;) c = 2


= 3.2 = 6


And either of their sum or difference = b


= -2√6


Thus the two terms are -√6 and -√6


Sum = -√6 -√6 = -2√6


Product = -√6. -√6 = -6 6 = √6. √6




(On using 3 = √3.√3 and √6 = √3 √2)





Equation has repeated roots


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