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# For what values does the equation: X2  2(a-1)x + (4a-3)=0 have real roots? For what integer values of a are the roots real integers?

Hi, I really need help for maths work, there is one question annoying me!: For what values does the equation: X2  2(a-1)x + (4a-3)=0 have real roots? For what integer values of a are the roots real integers?
Question asked by: Asim92

Asked on: 20 Sep 2008

Just pump some numbers into the equation and find out what answers come out, and this will be enough to give you a good start in answering this one!
By: knowitall
Replied at: 25 Sep 2008   Average rating for this answer is 2.5 / 5

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### Comments and other answers:

Using the quadratic formula twice, you can establish that roots are real so long as a does not belong in the region 3-(5^1/2)and 3+(5^1/2) and has integer roots if a^2 - 6a + 4 is a square number e.g. when a=6
By: Timothy

Date of comment: Sun, Dec 7th 2008

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