C

9000028410

Część: 
C
Find the condition which is equivalent to the fact that the equation ax2+bx+c=0 with x∈R and real coefficients a, b, c has two solutions and one of the solutions is a reciprocal value of the second solution.
b2−4ac>0 and ca=1
b2−4ac>0 and a=c
b2−4ac>0 and ca=−1
b2−4ac>0 and a=−c

9000028409

Część: 
C
Find the condition which is equivalent to the fact that the equation ax2+bx+c=0 with x∈R and real coefficients a, b, c does not have a real solution.
(b2−4ac<0 and a≠0) or (a=b=0 and c≠0)
b2−4ac<0
b2−4ac<0 and a≠0
(b2−4ac<0 and a≠0) or (ab=0 and c≠0)

9000028408

Część: 
C
Find the condition which is equivalent to the fact that the equation ax2+bx+c=0 with x∈R and real coefficients a, b, c has two real solutions and one of the solutions is bigger than the other one.
b2−4ac>0 and a≠0
b2−4ac≠0 and a≠0
−b2a>b2−4ac2a
−b2a<b2−4ac2a

9000028403

Część: 
C
Find the condition which is equivalent to the fact that the equation ax2+bx+c=0 with x∈R and real coefficients a, b, c has two real solutions x1≠x2, x1>0, x2>0.
b2−4ac>0 and ca>0 and ba<0
a≠0 and c>0
a>0 and b<0 and c>0 and b2−4ac>0
a≠0 and c>0 and b2−4ac>0