What is the answer to k^{4.5}+1.5k=18-3k ?

The answer to k^{4.5}+1.5k=18-3k is k\approx 1.68356…

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k^{4.5}+1.5k=18-3k

k^{4.5} + 1.5 k = 18 - 3 k

k \approx 1.68356 \dots

Solution steps

k^{4.5} + 1.5 k = 18 - 3 k

Remove roots

k^{9} = (18 - 4.5 k)^{2}

Solve

k^{9} = (18 - 4.5 k)^{2} : k \approx 1.68356 \dots

k \approx 1.68356 \dots

Verify Solutions:

k \approx 1.68356 \dots

True

The solution is

k \approx 1.68356 \dots

x - 14 x + 48 = 0

(1 + x)^{0.89} = 1.053

2 x - 2 + 6 = - 8

2 - x = 2.51

0.7 = \frac{k}{12}

What is the answer to k^{4.5}+1.5k=18-3k ?
The answer to k^{4.5}+1.5k=18-3k is k\approx 1.68356…
Solve for k: k^{4.5}+1.5k=18-3k
The solution is k\approx 1.68356…