3x+¹/2x = 6 find the value of 8x³+¹/27³
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Answer:
So 3x+1/2x=5
Solve this equation like any other:
First, multiply both sides by 2x to get rid of the denominator:
3x+1 = 10x
Subtract 3x from both sides:
1 = 7x
Divide by 7:
x = 1/7
now, plug this value for x into the other equation:
8x^3 + 1/27x^3
Remember, the exponents are being applied ONLY to x, and NOT the coefficient of x!
8*1/343 + 1/19683
8/343 + 1/19683
There’s your answer. I won’t bother to find common factors because 19683 is a headache to factor because of its size.
Step-by-step explanation:
Let’s start by simplifying 3x+1/2x =5
3x+1/2x = 5
3x+1 = 10x
1 = 7x
x = 1/7
So the value of x is 1/7. Now we substitute 1/7 into our second equation, 8x^3+1/27x^3.
8x^3+1/27x^3
(8/343 + 1)/(27/343)
(351/343)/(27/343)
351/27
13
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