When the product of two numbers is -60,it indictes that one of the no. is having + sign and the other is having -(negative) sign
When their sum is -11 ,it indicates that the greater no. is having - or negative sign,while the smaller number is having +(positive) sign
Add the following
If you want to find the numbers,there is an easy formula to find them
Let the nos. be a and b
Therefore,a+b= -11 and ab= -60
We know that (a-b)^2=(a+b)^2-4ab
Hence (a-b)^2=(-11)^2-4.(-60)
=121+240=361
Therefore a-b=sqrt 361=19
Now,we have got two equations,
a+b=-11 and a-b=19
By adding the two equations and dividing by 2,
we get a=4
By subtracting and dividing by 2,we get
b= -15
Therefore the nos. are 4 and -15
2007-01-24 17:11:45
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answer #1
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answered by alpha 7
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That would be -15 + 4 = -11 and -15 x 4 = -60
2007-01-24 17:13:45
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answer #2
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answered by joneseq 1
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+4 and -15
2007-01-24 17:08:18
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answer #3
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answered by SA Writer 6
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I'm assuming you meant 60, because if not, then your problem will come up with no answer.
xy = -60
x + y = -11
x + y = -11
y = -x + 11
x(-x + 11) = -60
-x^2 - 11x = -60
x^2 + 11x - 60 = 0
x = (-b ± sqrt(b^2 - 4ac))/(2a)
x = (-11 ± sqrt(11^2 - 4(1)(-60)))/(2(1))
x = (-11 ± sqrt(121 + 240)))/2
x = (-11 ± sqrt(361))/2
x = (-11 ± 19)/2
x = (-30/2) or (8/2)
x = -15 or 4
ANS : 4 and -15
2007-01-24 18:30:05
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answer #4
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answered by Sherman81 6
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-15 & 4
2007-01-24 17:15:57
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answer #5
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answered by towanda 7
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4, -15
2007-01-24 17:10:43
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answer #6
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answered by wynterphoenyx 2
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