Quadratic equation

2010-09-29 3:28 am
Consider the quadratic equation 10x^2-(3k+2)x+k=0.If the sum of roots is greater than the product of its roots by 4 over 5,
A,find the value of k
B,hence,solve the equation

回答 (1)

2010-09-29 3:43 am
✔ 最佳答案
a)
Sum of roots=(3k+2)/10
Product of roots=k/10

If the sum of roots is greater than the product of its roots by 4 over 5,
(3k+2)/10-k/10=4/5
2k+2=10(4/5)
2k+2=8
2k=6
k=3

b)
10x^2-11x+3=0
(2x-1)(5x-3)=0
x=1/2 or x=3/5


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