bluefiberglass
(ricebox1/2)

There are two parts in this question.

a) Prove that if a quadratic equation has consective integers as its coefficients, then it has no real roots.

B), Prove or disprove the theorem that if a quadratic equation has three consecutive integers as its coefficients, then it has no real roots.

Well, I did the second part as :

the quadratic equation (n-1)x*x+nx+(n+1)=0, where n>=2.

then b*b-4ac<0,

it is true.

What should I write the first part? How to tell them apart?

Thanks again.

the third question is ' Prove that f(n)=n*n*n-n*n-4 is a composite number. (ie, not a prime number) for all integers n>2.

a) Prove that if a quadratic equation has consective integers as its coefficients, then it has no real roots.

B), Prove or disprove the theorem that if a quadratic equation has three consecutive integers as its coefficients, then it has no real roots.

Well, I did the second part as :

the quadratic equation (n-1)x*x+nx+(n+1)=0, where n>=2.

then b*b-4ac<0,

it is true.

What should I write the first part? How to tell them apart?

Thanks again.

the third question is ' Prove that f(n)=n*n*n-n*n-4 is a composite number. (ie, not a prime number) for all integers n>2.

(#340474@0)

2002-1-19 -04:00

2002-1-19 -04:00