Q. 394.2( 5 Votes )

Solve each of the following quadratic equations:

2x2 + ax - a2 = 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 = 2; b = a; c = - a2

= - 2.a2 = - 2 a2

And either of their sum or difference = b

= a

Thus the two terms are 2a and - a

Difference = 2a - a = a

Product = 2a. - a = - 2a2

2x (x + a)-a (x + a) = 0

(2x-a) (x + a) = 0

(2x-a) = 0 or (x + a) = 0

Hence the roots of equation are

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