If the given expression is rewritten in the form , where k is a constant, what is the value of

Question

If the given expression is rewritten in the form , where k is a constant, what is the value of k ?

Accepted Answer

The correct answer is 4. It&rsquo;s given that can be rewritten as ; it follows that . Expanding the left-hand side of this equation yields . Subtracting from both sides of this equation yields . Using properties of equality, and . Either equation can be solved for k . Dividing both sides of by yields . The equation can be rewritten as . It follows that . Solving this equation for k also yields . Therefore, the value of k is 4.

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