Find two numbers whose sum is 27 and product is 182.
13 and (-14)
(-13) and 14
13 and 14
(-13) and (-14)
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- Answer:
- 13and 14
- Step-by-step explanation:Let the first number be x and the second number is 27 - x.Therefore, their product = x (27 - x)It is given that the product of these numbers is 182.Therefore, x(27 - x) = 182⇒ x2 – 27x + 182 = 0⇒ x2 – 13x - 14x + 182 = 0⇒ x(x - 13) -14(x - 13) = 0⇒ (x - 13)(x -14) = 0Either x = -13 = 0 or x - 14 = 0⇒ x = 13 or x = 14If first number = 13, thenOther number = 27 - 13 = 14If first number = 14, thenOther number = 27 - 14 = 13Therefore, the numbers are 13 and 14.hope it helps you if you want you can make me brainliest
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