What is the answer to sqrt(x+4)+x^2-4=0 ?

The answer to sqrt(x+4)+x^2-4=0 is x\approx 1.30277…,x\approx-1.56155…

Solve for x: sqrt(x+4)+x^2-4=0

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

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x + 4 + x^{2} - 4 = 0

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

Solution steps

x + 4 + x^{2} - 4 = 0

Remove square roots

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

Solve

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

27 - 6 x - x = 0

x + 2 = 5

x + 9 = 3 + x

k^{4.5} + 1.5 k = 18 - 3 k

x - 14 x + 48 = 0

What is the answer to sqrt(x+4)+x^2-4=0 ?
The answer to sqrt(x+4)+x^2-4=0 is x\approx 1.30277…,x\approx-1.56155…
Solve for x: sqrt(x+4)+x^2-4=0
The solution is x\approx 1.30277…,x\approx-1.56155…