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# Do there exist reals b, c so that x2 + bx + c = 0 and x2 +

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Manager
Joined: 25 Jan 2004
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Location: China
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Do there exist reals b, c so that x2 + bx + c = 0 and x2 + [#permalink]  01 Feb 2004, 02:04
Do there exist reals b, c so that x2 + bx + c = 0 and x2 + (b+1)x + (c+1) = 0 both have two integral roots
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Joined: 30 Oct 2003
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[#permalink]  02 Feb 2004, 07:53
b = 2 and c = 1
x^2+2x+1 has x=-1 as root
x^2+3x+2 has x=-1 and x=-2 as roots

I assumed integral roots means integer roots.

If you want two distinctive roots then
b = 3 and c = 2
[#permalink] 02 Feb 2004, 07:53
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# Do there exist reals b, c so that x2 + bx + c = 0 and x2 +

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