complex number helnp me plz

2010-02-18 6:05 am
if x=3+4j is a root of x^2+ax+b=0,find the real numbers a and b

回答 (3)

2010-02-18 6:12 am
✔ 最佳答案
x^2 + ax + b = 0

For x = 3 + 4j is a root, then its conjugate x = 3 - 4j must be another root.

Sum of roots, -a = (3 + 4j) + (3 - 4j) = 6

So, a = -6

Product of roots, b = (3 + 4j)(3 - 4j) = (3)^2 - (4j)^2 = 9 - (-16) = 25

So, a = -6, b = 25
參考: Physics king
2010-02-18 6:11 pm
if x=3+4j is a root of x^2+ax+b=0,find the real numbers a and b
Sol
x=3+4j
x-3=4j
x^2-6x+9=-16
x^2-6x+25=0
a=-6,b=25
2010-02-18 6:22 am
Sum of roots, -a = (3 + 4j) + (3 - 4j) = 6

點解a會變左-a?

2010-02-17 22:30:33 補充:
Sum of roots, -a = (3 + 4j) + (3 - 4j) = 6

點解a會變左-a?


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