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Quadratic Equations
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29/05/2021 12:24 pm
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The product of two consecutive positive integers is 306. We need to find the integers.
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29/05/2021 12:25 pm
Let us consider,
The first integer number = x
Thus, the next consecutive positive integer will be = x + 1
Product of two consecutive integers = x × (x +1) = 306
⇒ x2 + x = 306
⇒ x2 + x – 306 = 0
Therefore, the two integers x and x+1, satisfies the quadratic equation, x2 + x – 306 = 0.