Question 673176
x+y=35
xy=274.89
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{{{x = 274.89/y}}}
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{{{274.89/y}}} + y = 35
{{{274.89 + y^2 = 35y}}}
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{{{y^2 - 35y + 274.89 = 0}}}
{{{y^2 - 35y + 306.25 = -274.89 + 306.25}}}
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{{{(y-17.5)^2 = 31.36}}}
{{{sqrt(y-17.5)^2}}} = +/- {{{sqrt(31.36)}}}
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y-17.5 = +/- {{{sqrt(31.36)}}}
y = 17.5 +/- {{{sqrt(31.36)}}}
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The numbers are {{{highlight_green(23.1)}}} and {{{highlight_green(5.6)}}}
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