Q. 174.3( 10 Votes )

Solve the following for x :


Answer :






(2 a + b + 2x)(x) = – ab


2 x2 + (2 a + b) x + ab = 0


We know that the solution of equation ax2 + bx + c = 0 is given by:



For our equation, a = 2, b = (2 a + b) and c = ab


Applying the value in the formula we get,





Now we get that, x = = –b/2 or


We have, x = = – a


So the two solutions of x are –b/2 and – a


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