36@Debosmit - ya that's the point !!!!!!!
if the equations x2 + 3x + 5 = 0 and ax2 + bx + c = 0 have a common root and a,b,c E N then find the minimum value of a + b + c.
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7 Answers
262SINCE THE ROOTS OF THE FIRST EQN ARE COMPLEX, BOTH THE GIVEN ROOTS WILL HAVE THE SAME ROOTS (SINCE a,b,c BELONG TO N).
HENCE MIN(a+b+c)=1+3+5=9
36but even if a,b,c didn't belong to n then also both the roots of both the eqns. would hv been common i guess...!!
1@rahul;yes the roots wud hv been common but then we cant find the min value of a+b+c+d....
36@Aditya - actually yes... but i said is it necessary for a,b,c to be natural... i meant it can be real as well.. as the main idea to mention a,b,c E N in this question is that it helps in calculating the mininmum value of a,b and c nd so i wrote that.... well yes... i got your point ...!!
