What is the answer to sqrt(x)=2-x^4-x^3 ?

The answer to sqrt(x)=2-x^4-x^3 is x\approx 0.83858…

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sqrt(x)=2-x^4-x^3

x = 2 - x^{4} - x^{3}

x \approx 0.83858 \dots

Solution steps

x = 2 - x^{4} - x^{3}

Square both sides:

x = - 4 x^{4} + x^{8} + 2 x^{7} - 4 x^{3} + x^{6} + 4

x = - 4 x^{4} + x^{8} + 2 x^{7} - 4 x^{3} + x^{6} + 4

Solve

x = - 4 x^{4} + x^{8} + 2 x^{7} - 4 x^{3} + x^{6} + 4 : x \approx 1.12886 \dots, x \approx 0.83858 \dots

x \approx 1.12886 \dots, x \approx 0.83858 \dots

Verify Solutions:

x \approx 1.12886 \dots

False

, x \approx 0.83858 \dots

True

The solution is

x \approx 0.83858 \dots

0.85 (1) = 1 1 - x^{2}

x^{2} - 2 x + 1 = 3 x + 2

1 - 5 x = 4

3600000 = 0.2 x + 1

What is the answer to sqrt(x)=2-x^4-x^3 ?
The answer to sqrt(x)=2-x^4-x^3 is x\approx 0.83858…
Solve for x: sqrt(x)=2-x^4-x^3
The solution is x\approx 0.83858…