What is the answer to 228.5x^{-1.5}=29.5x^{2.5} ?

The answer to 228.5x^{-1.5}=29.5x^{2.5} is x=1.66826…

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228.5x^{-1.5}=29.5x^{2.5}

228.5 x^{- 1.5} = 29.5 x^{2.5}

x = 1.66826 \dots

Solution steps

228.5 x^{- 1.5} = 29.5 x^{2.5}

Move

29.5 x^{2.5}

to the left side

228.5 x^{- 1.5} - 29.5 x^{2.5} = 0

Factor

Solve

x = 1.66826 \dots

Verify Solutions:

x = 1.66826 \dots

True

The solution is

x = 1.66826 \dots

x + 1 = 1 - x

2 x = x - 3

x + \frac{8}{x} = 6

400 - q = \frac{q}{60} + 5

What is the answer to 228.5x^{-1.5}=29.5x^{2.5} ?
The answer to 228.5x^{-1.5}=29.5x^{2.5} is x=1.66826…
Solve for x: 228.5x^{-1.5}=29.5x^{2.5}
The solution is x=1.66826…