Find two numbers whose sum is 27 and product is 182.
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Step-by-step explanation:
let the numbers be x and y
given x + y = 27 => y = (27-x)________1
and xy = 182____________________2
substitute value of y from equation 1 in eqnn2
=> x(27-x) = 182
=> -x² + 27x - 182 = 0
=> x² - 27x + 182 = 0
=> x² - 14x - 13x + 182 = 0
=> x(x - 14) - 13(x - 14) = 0
=> (x-14)(x-13) = 0
=> x-14 = 0 => x = 14
=> x-13 = 0 => x = 13
therefore the two numbers are 13 and 14
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