Question

What is two numbers that when added equal 25 but when multiplied equal negative 200

Answer 1

Well lets look at it lets find multiples that equal 200 when multiplied first to get rid of extra work 

so i just took a couple of guesses and lined them up 
i got really close when i did this one 
-200/30 = -6.666666667
30 + 6.666666667 = 23.33333333
see not quite there almost 25 but not far enough 
so ill try to move the numbers around little by little. 
-200/29.5 = -6.779661017
29.5 + -6.779661017 = 22.72033898
okay honestly after i finished this trial i wasn't sure if i was thinking straight because i completely didnt think about which way i needed to go so now i pinched myself and this time we might head the right way lol
-200/30.5 = -6.557377049
30.5 + -6.557377049 = 23.94262295
so obviously we need to move up alittle more 
-200/31 = -6.451612903
31 + -6.451612903 = 24.5483871
HEY LOOK WE ARE ALMOST THERE!! lets try some more;)
-200/31.5 = -6.349206349
31.5 + -6.349206349 = 25.15079365
see we are at 25! but lets try to get rid of as many numbers behind it as possible.
-200/31.4 = -6.369426752
31.4 + -6.369426752 = 25.03057325
getting closer...
-200/31.39 = -6.371455878
31.39 + -6.371455878 = 25.01854412
what does this mean? this means we can go lower... sooo here we go 
-200/31.38 = -6.373486297
31.38 + -6.373486297 = 25.0065137
i guess we can try lower..
-200/31.37 = -6.375518011
31.37 + -6.375518011 = 24.99448199
wait! before you leave! try 31.379
-200/31.379 = -6.37368941
31.379 + -6.37368941 = 25.00531059
okay so yes, i am taking the very long way but good comes to those with patience:D lets try making the third place after the decimal a little bit lower
-200/31.377 = -6.374095675
31.377 + -6.374095675 = 25.00290432
yes we can take it lower so lets make it the best answer 
-200/31.376 = -6.374298827
31.376 + -6.374298827 = 25.00170117
i pray this be over soon^ lets try again....
-200/31.375 = -6.374501992
31.375 + -6.374501992 = 25.00049801
okay im a perfectionist... sooo lets go lower
-200/31.374 = -6.37470517
31.374 + -6.37470517 = 24.99929483
okay so we went to low on the third place. and of course i am moving to the fourth place...
-200/31.3749 = -6.374522309
31.3749 + -6.374522309 = 25.00037769
okay we can move lower on that place....
-200/31.3748 = -6.374542627
31.3748 + -6.374542627 = 25.00025737
lets try to move this along faster...
-200/31.3746 = -6.374583262
31.3746 + -6.374583262 = 25.00001674 
every number counts literally so moving lower 
-200/31.3744 = -6374623897
31.3744 + -6374623897 = 24.9997761 
we gotta put a 9 on our fifth place from our decimal sooo here we go again
-200/31.37449 = -6.374605611
31.37449 + -6.374605611 = 24.9998439
OMG DO YOU UNDERSTAND WHAT THIS MEANS!!?!?!
okay that means our answer was two trials ago solved 
in other words our two numbers arreee
 31.3746
-6.374583262
hallelujah we are finished and if this is wrong i will pull my hair out.