If the product of two consecutive odd integers is 255,find the integers
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Answer:
the integers are = 15 & 17 or -17 & -15
Step-by-step explanation:
let 1 odd integer = 2x+1
other one = 2x+3
given, (2x+1)×(2x+3) = 255
=> 4x^2 + 6x + 2x + 3 - 255 = 0
=> 4x^2 + 8x - 252 = 0
=> x^2 + 2x - 63 = 0
=> x^2 + 9x - 7x -63 = 0
=> x(x+9) - 7(x+9) = 0
=> (x-7)(x+9) = 0
=> x-7 = 0 or x+9 = 0
=> x = 7 or -9
=> 2x+1 = 15 or -17
=> 2x+3 = 17 or -15
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