What must be added to the expression x\(^2\) - 18x to make it a perfect square?

Assessment: WAEC SSCE - General Mathematics - 1992 (Objective) Subject: General Mathematics

Question 1 Report

What must be added to the expression x\(^2\) - 18x to make it a perfect square?

Answer Details
To make the expression x\(^2\) - 18x a perfect square, we need to add a constant term. The constant term should be half of the coefficient of x squared, which is (18/2)\(^2\) = 81. Therefore, we need to add 81 to the expression to make it a perfect square. Adding 81 to the expression gives: x\(^2\) - 18x + 81 = (x - 9)\(^2\) Thus, the answer is 81.

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