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What are two numbers when you multiply them you get -105 however when you add them you get 11?
Wiki User
∙ 12y ago
-94
Wilburn Stoltenberg
Wiki User
∙ 12y agoFirst we'll take the two facts we're given:
x + y = 11
xy = -105
And combine them into a single equation:
x(11 - x) = -105
Now we can solve for x:
x2 - 11x = 105
x2 - 11x + (11/2)2 = 105 + (11/2)2
(x - 11/2)2 = 420/4 + 121/4
x - 11/2 = √(541/4)
x = (11 ± √541) / 2
So the two numbers are (11 + √541) / 2 and (11 - √541) / 2, or approximately 17.1297 and -6.1297
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