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If x2 + ax + b = 0 and x2 + bx + a = 0 have exactly 1 common root then what is the value of (a + b)?

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If x<sup>2</sup> + ax + b = 0 and x<sup>2</sup> + bx + a = 0 have exactly 1 common root then what is the value of (a + b)?





 
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