What is the answer to x^{0.6}(x-1)=9(x+2) ?

The answer to x^{0.6}(x-1)=9(x+2) is x\approx-1.61316…,x\approx 43.61592…

Solve for x: x^{0.6}(x-1)=9(x+2)

The solution is x\approx-1.61316…,x\approx 43.61592…

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x^{0.6} (x - 1) = 9 (x + 2)

x \approx - 1.61316 \dots, x \approx 43.61592 \dots

Solution steps

x^{0.6} (x - 1) = 9 (x + 2)

Take both sides of the equation to the power of

5 : x^{8} - 5 x^{7} + 10 x^{6} - 10 x^{5} + 5 x^{4} - x^{3} = 59049 x^{5} + 590490 x^{4} + 2361960 x^{3} + 4723920 x^{2} + 4723920 x + 1889568

x^{8} - 5 x^{7} + 10 x^{6} - 10 x^{5} + 5 x^{4} - x^{3} = 59049 x^{5} + 590490 x^{4} + 2361960 x^{3} + 4723920 x^{2} + 4723920 x + 1889568

Solve

x^{8} - 5 x^{7} + 10 x^{6} - 10 x^{5} + 5 x^{4} - x^{3} = 59049 x^{5} + 590490 x^{4} + 2361960 x^{3} + 4723920 x^{2} + 4723920 x + 1889568 : x \approx - 1.61316 \dots, x \approx 43.61592 \dots

x \approx - 1.61316 \dots, x \approx 43.61592 \dots

Verify Solutions:

x \approx - 1.61316 \dots

True

, x \approx 43.61592 \dots

True

The solutions are

x \approx - 1.61316 \dots, x \approx 43.61592 \dots

7 x - 3 = 5

2 x - 1 = 5

2 x - 1 = 3

4 x - 2 = x

x - 6 = 17 x + 36

What is the answer to x^{0.6}(x-1)=9(x+2) ?
The answer to x^{0.6}(x-1)=9(x+2) is x\approx-1.61316…,x\approx 43.61592…
Solve for x: x^{0.6}(x-1)=9(x+2)
The solution is x\approx-1.61316…,x\approx 43.61592…