two consecutive odd numbers whose product is 575
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Step-by-step explanation:
Let one number be x
The next odd consecutive number is x + 2
Form equation:
Their product is 575
⇒x (x + 2) = 575
Solve x:
x (x + 2) = 575
x² + 2x = 575
x² + 2x - 575 = 0
(x + 25)(x - 23) = 0
x = -25 or x = 23
x = -25 or x = 23
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