A) a^999+b^3;
B) a quadratic equation with roots a and b
更新1:
Hello mungks, Your answer is not the same as the ansewer. Can you please look at it again?
Euations
2007-04-05 11:45 pm
If the roots of the equation x^2-2(a-1)x-(b+2)=0 are equal,find
A) a^999+b^3;
B) a quadratic equation with roots a and b
A) a^999+b^3;
B) a quadratic equation with roots a and b
回答 (1)
2007-04-06 6:46 pm
✔ 最佳答案
If the roots are equal, then4(a-1)^2 + 4(b+2) = 0
b = -2 - (a-1)^2
A) a^999+b^3
= a^999 + [-2 - (a-1)^2]
= a^999 - (a^2-2a+3)^3
= a^999 -a^6 +6a^5-21a^4+44a^3-63a^2+54a-27
B) the quatratic equation with roots a and b :
(x-a)(x-b)=0
x^2-(a+b)x+ab=0
x^2 + (a^2-3a+3)x -a(a^2-2a+3)=0
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