謝謝解答 Consider the quadratic equation（3p+1）x²+（p+3）x+1=0 （a）If the sum if its roots is equal to the product of its roots,find the value of p.?

👨🏻‍🏫 學術台數學

[匿名]

2016-10-16 11:16 am

回答 (1)

baby

2016-10-16 11:52 am

a=(3P+1)
b=(P+3)
c=1
b*b-4ac=0
(p+3)(p+3)-4(3p+1)=0
p*p+6p+9-12p+4=0
p*p-6p+5=0
p-1=0 or p-5=0
p=1 or p=5
the value of p=1 or p=5

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