請求各位大大教我做這條數學題目,謝謝解答。?

2016-10-16 11:34 am
Consider the quadratic equation(3p+1)x²+(p+3)x+1=0
(b)Kelvin claims that if the sum of its roots is equal to the product of its roots,than its roots must be distinct.Do you agree?explain your answer.

回答 (1)

2016-10-16 11:44 am
✔ 最佳答案
Sol
-(p+3)/(3p+1)=1/(3p+1)
-p-3=1
p=-4
D=(p+3)^2-4*(3p+1)*1
=(-4+3)^2-4*(-3+1)
=1+8
=9>0
agree
D>0 than its roots must be distinct.


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