Answer:
0 < c < 1
Step-by-step explanation:
Descarte's rule of signs tells you the quadratic will have two or zero positive real roots when the sign of c is positive. (c > 0)
The discriminant tells you the quadratic will have real roots when ...
b² -4ac > 0 . . . . . . where a, b, c are the coefficients of ax² +bx +c = 0
(-2)² -4(1)c > 0
1 -c > 0
c < 1
The equation will have two positive real roots when 0 < c < 1.
