I could use some help on this problem
I have to find the integer pairs for two different given products and sums:
The products are 45 and -34 and the sums are -14 and -15
1 Answer | Add Yours
Let us say the two numbers are A and B respectively.
Sum of A and B is 45.
`A+B = -14-----(1)`
Product of A and B is;
`AB = 45 ----(2)`
From (1) we can get `A = -B-14 = -(B+14)`
`AB = 45`
`-(B+14)B = 45`
`-B^2-14B-45 = 0`
`B^2+14B+45 = 0`
`B^2+9B+5B+45 = 0`
`B(B+9)+5(B+9) = 0`
`(B+9)(B+5) = 0`
Solving the above equation yields B = -9 and B = -5.
Substituting these values on (1) will give A = -5 and A = -9.
So the two numbers are -9 and -5.
You can do the next in the same way.
The answers would be -17 and 2.
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