Isolate the square root on one side of the equation and then square both sides of the equation
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Question
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17x³ + (3x + 8x³<span>)
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Remove the bracket
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17x³ + 3x + 8x³
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Combine like terms
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25x³ + 3x
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Take out common factor
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x(25x² + 3)
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Answer: x(25x² + 3)
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(a) In functional notation, you are asked for C(600).
For this, put 600 where t is in the functional notation C(t).
(b) The value multiplying 8 is 0.5 when the exponent of 0.5 is 1. That is
... t/5730 = 1
Multiplying by 5730 gives
... t = 5730
It will take 5730 years for half the Carbon 14 to be gone.
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Or, you can recognize a fraction is 1 when its numerator is the same as its denominator. That is t/5730 = 5730/5730 = 1 when t=5730.
