Hence, the number is 5.
Further explanation:
Let x be a positive integer
Then
One less than a positive number will be written as: x-1
Three more than that number = x+3
According to the statement
One less than a positive number times three more than that number is 32
The equation will be:
We get two values for x, -7 and 5
But it is mentioned in the question that the number is positive, so the required number is 5.
Verification:
(x-1)(x+3)=32
(5-1)(5+3)=32
4*8=32
32=32
Hence, the number is 5.
Keywords: Quadratic equation, Factorization
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