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MATH / For how many integer values of a does the equation x²+ax+5a=0 have integer solutions for x?

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problem

For how many integer values of aa does the equation x2+ax+5a=0x^2 + ax + 5a = 0 have integer solutions for xx?
Plain-text mathematical notation (without MathML)
For how many integer values of a does the equation x²+ax+5a=0 have integer solutions for x?
Original LaTeX notation
For how many integer values of $a$ does the equation $x^2 + ax + 5a = 0$ have integer solutions for $x$?

level

Level 5

type

Algebra

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