SOLUTION: what two numbers add to -3/2 and multiply to -1

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Question 698830: what two numbers add to -3/2 and multiply to -1

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

let's numbers be and
if two numbers add to , we have
....eq. 1
and if they multiply to , we have
...eq. 2
solve the system:
....eq. 1
...eq. 2
________________________
...eq. 2....solve for
....substitute in eq. 1

....eq. 1...solve for



...cross multiply


...use quadratic formula





solutions:



or




now find
....plug in



and
....plug in



so, the numbers are:
and
or
and




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