The product of half my number and my number is 162.

This can be solved by a simple linear equation and a substitution. Let's assume that n is my number. So as per the equation:
n x n/2 = 162 Which means, n^2 = 162 x 2 Which means, n^2 = 324 Which means, n = √324 Which means, n = -+18 Both 18 and -18 could be my number, since it is not mentioned my number is positive or negative.

Answered by W0lf93 | 2024-06-11

The number can be either 18 or -18, since half of the number multiplied by the number itself equals 162. We formed the equation 2 n ​ ⋅ n = 162 and solved for n . By calculating, we found that the square roots of 324 yield both positive and negative solutions.
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Answered by W0lf93 | 2024-10-16