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8000 lb = 4 t(US)8000 lb = 4 t(US)8000 lb = 4 t(US)8000 lb = 4 t(US)8000 lb = 4 t(US)8000 lb = 4 t(US)
I am going to guess that you mean: Find t when (√(t + 12)) - t = 0. Then, √(t + 12) = t; t + 12 = t²; (squaring both sides) t² - t - 12 = 0; (t - 4)(t + 3) = 0; and t = 4 or -3. We'd best check both results, because we squared both sides at an earlier stage, which introduces an ambiguity and, probably, an extraneous answer: Our original equation is seen to hold, for t = 4: √(4 + 12)) - 4 = √16 - 4 = 4 - 4 = 0. However, it does not hold, for t = -3. √(-3 + 12)) + 3 = √9 + 3 = 3 + 3 = 6 ≠ 0. Thus, the answer is that t = 4.
8 t-8 = 4 t = 8+4 t = 12
16t(t + 4) is the factorization Usually it's set = to 0 16t (t+4) =0 So, either 16t = 0 or t + 4 = 0 t = 0 or t = -4
t=-4