The number of roots common between the two equations x3+3x2+4x+5=0x3+3x2+4x+5=0 and x3+2x2+7x+3=0x3+2x2+7x+3=0 is	Select the correct option:
A) 22
B) 27
C) 13
D) 88
E) 21
Here f(x) = x3+3x2+4x+5=0x3+3x2+4x+5=0 and g(x) = x3+2x2+7x+3=0x3+2x2+7x+3=0   To find the common roots we have to solve the equation f(x) - g(x) = 0   i.e. (x3+3x2+4x+5)(x3+3x2+4x+5) - (x3+2x2+7x+3)=0(x3+2x2+7x+3)=0   x2−3x+2=0x2−3x+2=0   x = 2, x = 1   These are the points of intersection f(x) and g(x). Whether these points are also the common root will have to be checked by putting these vales in f(x) = 0 and g(x) = 0.   For x = 2;   f(2) = g(2) = 43 ≠≠ 0. Hence 2 is not a common root but only a point of intersection.   For x = 1;   f(1) = g(1) = 13 ≠≠ 0. Again 1 is not a common root but a point of intersection. Hence, we find that the two equations do not have any common root between them.   Answer:13
<result>C</result>
The number of roots common between the two equations x3+3x2+4x+5=0x3+3x2+4x+5=0 and x3+2x2+7x+3=0x3+2x2+7x+3=0 is