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Find two numbers whose sum is 21 and product is 98? - Answers
Let the 2 numbers be x and y then we have x+y = 21 y = 21 - x ......(1) Also given that xy = 98 plug in y from (1) x(21-x) = 98 21x - x² = 98 x² - 21x + 98 = 0 x² - 14x - 7x + 98 = 0 x(x-14) - 7(x - 14) = 0 (x-14)(x-7) = 0 x = 14 or x = 7 If x = 14 then y =21-14 = 7 If x=7, then y = 21-7 = 14 So the two numbers are 7 and 14
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Find two numbers whose sum is 21 and product is 98? - Answers
Let the 2 numbers be x and y then we have x+y = 21 y = 21 - x ......(1) Also given that xy = 98 plug in y from (1) x(21-x) = 98 21x - x² = 98 x² - 21x + 98 = 0 x² - 14x - 7x + 98 = 0 x(x-14) - 7(x - 14) = 0 (x-14)(x-7) = 0 x = 14 or x = 7 If x = 14 then y =21-14 = 7 If x=7, then y = 21-7 = 14 So the two numbers are 7 and 14
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Find two numbers whose sum is 21 and product is 98? - Answers
Let the 2 numbers be x and y then we have x+y = 21 y = 21 - x ......(1) Also given that xy = 98 plug in y from (1) x(21-x) = 98 21x - x² = 98 x² - 21x + 98 = 0 x² - 14x - 7x + 98 = 0 x(x-14) - 7(x - 14) = 0 (x-14)(x-7) = 0 x = 14 or x = 7 If x = 14 then y =21-14 = 7 If x=7, then y = 21-7 = 14 So the two numbers are 7 and 14
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- og:descriptionLet the 2 numbers be x and y then we have x+y = 21 y = 21 - x ......(1) Also given that xy = 98 plug in y from (1) x(21-x) = 98 21x - x² = 98 x² - 21x + 98 = 0 x² - 14x - 7x + 98 = 0 x(x-14) - 7(x - 14) = 0 (x-14)(x-7) = 0 x = 14 or x = 7 If x = 14 then y =21-14 = 7 If x=7, then y = 21-7 = 14 So the two numbers are 7 and 14
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