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MATHEMATICS

JAMB 2013 - Question 11

Mathematics 2013 JAMB Past Questions - Question 11: If S = √t2 - 4t + 4, find t in terms of S.

If S = √t2 - 4t + 4, find t in terms of S.

A: S-2

B: S+2

C: S^2-2

D: S+2

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Correct Answer

Explanation

To find t in terms of S, we can start by simplifying the expression for S.S = √(t^2 - 4t + 4)To simplify further, we can notice that the expression inside the square root is a perfect square trinomial. It can be factored as follows:S = √((t - 2)^2)Taking the square root of a perfect square gives us:S = t - 2Now, to find t in terms of S, we can isolate t by adding 2 to both sides of the equation:S + 2 = tTherefore, t = S + 2.So, t is equal to S plus 2, or t = S + 2.