Sierraroach Sierraroach

25-01-2017
Mathematics

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Find two numbers whose product is -48 and whose sum is -8.

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sharky564 sharky564

25-01-2017

[tex]x+y=-8 xy =-48 \implies y= - \frac{48}{x} \implies x - \frac{48}{x} = -8 \implies x^2+8x-48=0 \implies (x+12)(x-4)=0 \implies (x,y)=(-12,4),(4,-12) [/tex]

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