बीजगणित - Algebra

बीजगणित - Algebra

31. If a and b are roots of ax2 + bx + c = 0, then a and b are roots of cx2 + bx + a = 0

32. If a and b are roots of ax2 + bx + c = 0, then

i. One root is zero if c = 0.

ii. Both roots zero if b = 0 and c = 0.

iii. Roots are reciprocal to each other, if c = a.

iv. If both roots a and b are positive, then sign of a and b are opposite and sign of c and a are      same.

v. If both roots a and b are negative, then sign of a, b and c are same.