Question 683060
x is one number
y is the other number
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xy=442
x+y=43 ==> rearrange as x = 43-y
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Substitution
(43-y)y = 442
{{{43y - y^2 = 442}}}
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Either determine that 
{{{0=y^2-43y+442}}} factors as (y-26)(y-17)=0
y = 26 AND y = 17
Or
Solve for y with the Quadratic Formula
{{{0 = y^2 - 43y + 442}}}
y = {{{(-(-43) +- sqrt(43^2-4(1)(442)))/(2*1)}}}
y = {{{(43+-sqrt(1849-1768))/2}}}
y = {{{(43+-sqrt(81))/2}}}
y = {{{(43+-9)/2}}}
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y = {{{(43+9)/2 = 26}}}
y = {{{(43-9)/2 = 17}}}
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Check
26*17 = 442
26+17=43
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The two numbers are 26 and 17.
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