SOLUTION: what 2 numbers when multiplied equal 24 but when added equal -10? or in other words {{{2z^2-10z+12=0}}} Thank you !! Jalee Stafford

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Question 190929This question is from textbook ALGEBRA 1
: what 2 numbers when multiplied equal 24 but when added equal -10? or in other words 2z%5E2-10z%2B12=0
Thank you !!
Jalee Stafford
This question is from textbook ALGEBRA 1

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
what 2 numbers when multiplied equal 24 but when added equal -10? or in other words 2z^2-10z+12=0
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The numbers are -6 and -4
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2z^2-6z -4z + 12 = 0
2z(z-3) -4(z-3) = 0
(z-3)(2z-4) = 0
z = 3 or z = 2
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Note: You could have divided thru by 2 before factoring.
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Cheers,
Stan H.