lheiannie07 wrote:What is the value of t?
(1) t(t - 1)^2 = 4t
(2) t is an integer.
Statement 1: t(t-1)² = 4t
One solution is t=0:
0(0-1)² = 4(0)
0 = 0.
If t≠0, we can divide both sides by t:
t(t-1)²/t = 4t/t
(t-1)² = 4.
The resulting equation is valid if t-1 = 2 (implying that t=3) or if t-1 = -2 (implying that t=-1).
Thus, there are a total three solutions:
t=0, t=2, t=-1.
These three solutions satisfy BOTH STATEMENTS.
Thus -- even when the two statements are combined -- t can be different values, implying that the two statements combined are INSUFFICIENT.
The correct answer is
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