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what to numbers that are added together give you -7 and that are multiplied together give you +60
thank you!

2006-11-12 14:45:55 · 6 answers · asked by chic! 2 in Science & Mathematics Mathematics

yea, my equation is already x^2-7x+60

2006-11-12 14:53:21 · update #1

thanks everyone! but its hard just because it has to be +60
isnt it no solution? or impossible?
how do you call that?

2006-11-12 14:56:17 · update #2

6 answers

x+y=-7
xy=60

(x+y)^2=x^2+2xy+y^2
49=x^2+y^2+120
-71=x^2+y^2
x^2>=0 and y^2>=0
so I don't think there is a solution

if their sum is -7 and their product is -60... then 5 and -12 are your numbers

2006-11-12 14:52:31 · answer #1 · answered by buaya123 3 · 0 0

Let the two numbers be x and y
given that: xy = 60, so y= 60/x
also, x + y = -7
or x + 60/x = -7
x^2 + 60 = -7x
x^2 + 7x + 60=0
factorise this and u get the positive value of x. Divide it by 60 and u get y.

2006-11-12 22:51:18 · answer #2 · answered by K.P. 3 · 0 0

8

2006-11-12 22:48:05 · answer #3 · answered by rpoker 6 · 0 0

Not possible. Excluding the use of imaginary numbers, the only thing that comes close is if you are subtracting, in which case it would be -12 and -5.

(-12) - (-5) = (-12) + 5 = -7

-12 * -5= +60

but -12 * 5= -60

If you can use imaginary numbers you can get an answer from the quadratic equation with a result of (-7 (+/-) 13.8207479 i) / 2

the 13.8...i number comes from the sqrt of -191

2006-11-12 22:58:16 · answer #4 · answered by Todd D 3 · 0 0

5 and -12 but the product of the two will yield -60

2006-11-12 22:52:50 · answer #5 · answered by Phy A 5 · 0 0

no solution?

2006-11-12 22:56:36 · answer #6 · answered by m0rph0s1s 2 · 0 0

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