The equation [m]((5-3-A)^2+3-6)^B=1[/m] can be made true for certain v
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28 Mar 2024, 12:50
The equation \(((5-3-A)^2+3-6)^B=1\) can be made true for certain values of variables A and B independent of each other. The variables A and B are both integers.
Select for A a value that would make the equation true irrespective of whatever value B has, and select for B a value that would make the equation true irrespective of value of A. Make only two selection, one for each column.
The equation will be true for any \(B\) if the expression in the parentheses equals \(1\) since \(1\) raised to any power is \(1\). So, we can find the answer choice for \(A\) such that the expression in the parentheses equals \(1\).
The expression in the parentheses simplifies to
\(((2 - A)^2 - 3)\)
For \(((2 - A)^2 - 3)\) to equal \(1\), \((2 - A)^2\) must be \(4\), and thus \(2 - A\) must be \(2\), and \(A\) must be \(0\).
Select \(0\) for \(A\).
The equation can be true for any \(A\) if \(B\) equals \(0\) since any number to the \(0\) power equals \(1\).
Select \(0\) for \(B\).
Correct answer: 0, 0