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

The answer to x^3+4=sqrt(x+3) is x\approx-1.39837…

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x^3+4=sqrt(x+3)

x^{3} + 4 = x + 3

x \approx - 1.39837 \dots

Solution steps

x^{3} + 4 = x + 3

Square both sides:

x^{6} + 8 x^{3} + 16 = x + 3

x^{6} + 8 x^{3} + 16 = x + 3

Solve

x^{6} + 8 x^{3} + 16 = x + 3 : x \approx - 1.72459 \dots, x \approx - 1.39837 \dots

x \approx - 1.72459 \dots, x \approx - 1.39837 \dots

Verify Solutions:

x \approx - 1.72459 \dots

False

, x \approx - 1.39837 \dots

True

The solution is

x \approx - 1.39837 \dots

u + 9 = 8

2 x + 2 = - 1 + x + 2

3 x + 2 - 2 x + 5 = 0

x + 2 x + 3 = 3 - x

12564.72 = 52375 x^{8.25}

What is the answer to x^3+4=sqrt(x+3) ?
The answer to x^3+4=sqrt(x+3) is x\approx-1.39837…
Solve for x: x^3+4=sqrt(x+3)
The solution is x\approx-1.39837…