Q. 204.4( 7 Votes )

Solve each of the following quadratic equations:

x2 + 2√2 x – 6 = 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 = 1; b = 2√2; c = -6


= 1. - 6 = - 6


And either of their sum or difference = b


= 2√2


Thus the two terms are 3√2 and -√2


Difference = 3√2-√2 = 2√2


Product = 3√2.-√2 = 3.-2 = -6



using


x(x + 3√2)-√2(x + 3√2) = 0


(x-√2)(x + 3√2) = 0


(x-√2) = 0 or (x + 3√2) = 0


x = √2 or x = -3√2


Roots of equation are √2 or -3√2


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