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# help plz

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For how many integer values of a does the equation

x^2 + ax + 8a = 3x + 4

have integer solutions for x?

Jan 15, 2022

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integer values of a

Hello Guest!

$$x^2 + ax + 8a = 3x + 4\\ x^2-3x+a(x+8)-4=0$$

How many integer values of a? I think three.

$$a\in\{0,-1,-6\}$$

!

Jan 15, 2022
edited by asinus  Jan 15, 2022