What is the answer to 1.16=0.6-0.4a^{0.6}-0.4a ?

The answer to 1.16=0.6-0.4a^{0.6}-0.4a is a\approx-0.63704…

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1.16=0.6-0.4a^{0.6}-0.4a

1.16 = 0.6 - 0.4 a^{0.6} - 0.4 a

a \approx - 0.63704 \dots

Solution steps

1.16 = 0.6 - 0.4 a^{0.6} - 0.4 a

Remove roots

0.01024 a^{5} + 0.07168 a^{4} + \frac{0.401408 a ^{3}}{2} + \frac{0.5619712 a ^{2}}{2} + 0.19668992 a + 0.0550731776 = - 0.01024 a^{3}

Solve

0.01024 a^{5} + 0.07168 a^{4} + \frac{0.401408 a ^{3}}{2} + \frac{0.5619712 a ^{2}}{2} + 0.19668992 a + 0.0550731776 = - 0.01024 a^{3} : a \approx - 0.63704 \dots

a \approx - 0.63704 \dots

Verify Solutions:

a \approx - 0.63704 \dots

True

The solution is

a \approx - 0.63704 \dots

(y + 2)^{\frac{3}{4}} = 2

n^{2} = n^{0.1}

y = \frac{2}{y}

\frac{1}{1 - x ^{2}} = 1.65

x, (x^{2} - 1) y = 1

What is the answer to 1.16=0.6-0.4a^{0.6}-0.4a ?
The answer to 1.16=0.6-0.4a^{0.6}-0.4a is a\approx-0.63704…
Solve for a: 1.16=0.6-0.4a^{0.6}-0.4a
The solution is a\approx-0.63704…