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in Quadratic Equations by (46.2k points)
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The sum of two numbers is 18 and their product is 56. Find the numbers.

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Let one number be x. Given, sum = 18 

∴ Other number = (18 – x)

∴ x(18 - x) - 56 ⇒ 18x - x2 = 56 ⇒ x2 - 18x + 56 = 0

x - 14x -4x + 56 = 0

⇒ x(x - 14) -4(x - 14) = 0

⇒ (x - 4)(x - 14) = 0 ⇒ (x - 4) = 0 or (x - 14) = 0 ⇒ x = 4, 14

∴ The numbers are 4 and 14.

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