(lesson 136 1 (2)) a, B, C are in equal proportion sequence, then the equation AX ^ 2 + BX + C = 0 (A) There must be two different real number roots. (b) there must be two same real number roots. (c) there must be no real number roots. (d) the above three cases can occur

(lesson 136 1 (2)) a, B, C are in equal proportion sequence, then the equation AX ^ 2 + BX + C = 0 (A) There must be two different real number roots. (b) there must be two same real number roots. (c) there must be no real number roots. (d) the above three cases can occur

b²=ac
Discriminant Δ = √ (B & # 178; - 4ac)
In this question, B & # 178; - 4ac

If a, B and C are in equal proportion sequence, then the equation AX2 + BX + C = 0 ()
A. There must be two unequal real roots B. there must be two equal real roots C. There must be no real roots D. the above three cases are possible

∵ a, B, C are in equal proportion sequence, ∵ B2 = AC, ① ∵ the discriminant of the equation AX2 + BX + C = 0 about X △ = b2-4ac, ② substitute ① into ② to get △ = b2-4b2 = - 3B2 < 0, ∵ the equation must have no real root, so choose C

If the three numbers a, B and C are in equal proportion sequence, then the roots of the quadratic equation AX & # 178; + BX + C = 0 with respect to X have two unequal real roots, two equal real roots, no real roots or can't be determined?

Not sure

If a, B and C are in equal proportion sequence, then the equation AX2 + BX + C = 0 ()
A. There must be two unequal real roots B. there must be two equal real roots C. There must be no real roots D. the above three cases are possible

∵ a, B, C are in equal proportion sequence, ∵ B2 = AC, ① ∵ the discriminant of the equation AX2 + BX + C = 0 about X △ = b2-4ac, ② substitute ① into ② to get △ = b2-4b2 = - 3B2 < 0, ∵ the equation must have no real root, so choose C