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

The answer to 4-x^2=sqrt(4-x) is x\approx-1.30277…,x\approx 1.56155…

Solve for x: 4-x^2=sqrt(4-x)

The solution is x\approx-1.30277…,x\approx 1.56155…

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4 - x^{2} = 4 - x

x \approx - 1.30277 \dots, x \approx 1.56155 \dots

Solution steps

4 - x^{2} = 4 - x

Square both sides:

16 - 8 x^{2} + x^{4} = 4 - x

16 - 8 x^{2} + x^{4} = 4 - x

Solve

16 - 8 x^{2} + x^{4} = 4 - x : x \approx - 2.56155 \dots, x \approx 2.30277 \dots, x \approx - 1.30277 \dots, x \approx 1.56155 \dots

x \approx - 2.56155 \dots, x \approx 2.30277 \dots, x \approx - 1.30277 \dots, x \approx 1.56155 \dots

Verify Solutions:

x \approx - 2.56155 \dots

False

, x \approx 2.30277 \dots

False

, x \approx - 1.30277 \dots

True

, x \approx 1.56155 \dots

True

The solutions are

x \approx - 1.30277 \dots, x \approx 1.56155 \dots

4 x + 2 = 2 x + 1

k = 5

2 x - 1 = (- 2 x + 7)

What is the answer to 4-x^2=sqrt(4-x) ?
The answer to 4-x^2=sqrt(4-x) is x\approx-1.30277…,x\approx 1.56155…
Solve for x: 4-x^2=sqrt(4-x)
The solution is x\approx-1.30277…,x\approx 1.56155…