What is the answer to q^{0.2}(q-6)-3=5 ?

The answer to q^{0.2}(q-6)-3=5 is q\approx-1.43869…,q\approx 10.95629…

Solve for q: q^{0.2}(q-6)-3=5

The solution is q\approx-1.43869…,q\approx 10.95629…

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q^{0.2} (q - 6) - 3 = 5

q \approx - 1.43869 \dots, q \approx 10.95629 \dots

Solution steps

q^{0.2} (q - 6) - 3 = 5

Expand

q^{0.2} (q - 6) - 3 : q^{0.2} q - 6 q^{0.2} - 3

q^{0.2} q - 6 q^{0.2} - 3 = 5

Move

3

to the right side

q^{0.2} q - 6 q^{0.2} = 8

Factor

q^{0.2} q - 6 q^{0.2} : q^{0.2} (q - 6)

q^{0.2} (q - 6) = 8

Divide both sides by

q - 6

q^{0.2} = \frac{8}{q - 6}

Take both sides of the equation to the power of

5 : q = \frac{32768}{q ^{5} - 30 q ^{4} + 360 q ^{3} - 2160 q ^{2} + 6480 q - 7776}

q = \frac{32768}{q ^{5} - 30 q ^{4} + 360 q ^{3} - 2160 q ^{2} + 6480 q - 7776}

Solve

q = \frac{32768}{q ^{5} - 30 q ^{4} + 360 q ^{3} - 2160 q ^{2} + 6480 q - 7776} : q \approx - 1.43869 \dots, q \approx 10.95629 \dots

q \approx - 1.43869 \dots, q \approx 10.95629 \dots

Verify Solutions:

q \approx - 1.43869 \dots

True

, q \approx 10.95629 \dots

True

The solutions are

q \approx - 1.43869 \dots, q \approx 10.95629 \dots

4 = 2 x

30 = \frac{3 a}{2}

3 x - 4 = 2 x + 5

12 k^{2.5} (4 k + 2) = 12 k

6 - x + 2 = x - 4

What is the answer to q^{0.2}(q-6)-3=5 ?
The answer to q^{0.2}(q-6)-3=5 is q\approx-1.43869…,q\approx 10.95629…
Solve for q: q^{0.2}(q-6)-3=5
The solution is q\approx-1.43869…,q\approx 10.95629…