I came across the below problem in a gmat online practice test..can anybody pls provide
suggestions to solve the problem?
If a+b+2ac =0 are the roots of the equation ax^2 +bx +c = 0 then which of the following is true?
a+b+2ac = 0
a^2-b^2+2ac = 0
none of these
My approach is :
formula for finding roots of a quadratic equation is -b +/- SQRT(b^2-4ac)/2a
a+b+2ac = -b +/- SQRT(b^2-4ac)/2a
a+2ac +b = -b +/- SQRT(b^2-4ac)/2a
a(1+2c) +b = -b +/- SQRT(b^2-4ac)/2a combining like terms on the left hand side eq.
squaring on both sides:
(a(1+2c) +b)^2 = b^2+/- b^2-4ac/4a^2
getting too long here..any suggestions pls?