Answer:
The number of complex roots is 6.
Step-by-step explanation:
Descartes's rule of signs tells you that the number of positive real roots is 0. The number of negative real roots will be at most 2. The minimum value of the left side will be between x=0 and x=-1, but will never be negative. Thus all six roots are complex.
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The magnitude of x^3 will exceed the magnitude of x^6 only for values of x between -1 and 1. Since the magnitude of either of these terms will not be more than 1 in that range, the left-side expression must be positive everywhere.
Answer:
The total members in the Spanish Club = 50
Step-by-step explanation:
Let the total members in the Spanish Club = x
Now, number of girls in the club = 30
Three-fifths of the members are girls.
⇒ of total members x = 30
or,
Now, solving for x, we get:
or, x = 50
Hence,the total members in the Spanish Club = 50
Step-by-step explanation:
the proof is given above
