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

The answer to sqrt(x+4)=x^2-4 is x\approx 2.56155…,x\approx-2.30277…

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

The solution is x\approx 2.56155…,x\approx-2.30277…

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x + 4 = x^{2} - 4

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

Solution steps

x + 4 = x^{2} - 4

Square both sides:

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

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

True

, x \approx - 2.30277 \dots

True

, x \approx 1.30277 \dots

False

, x \approx - 1.56155 \dots

False

The solutions are

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

3 x + 39 + 6 = 12

L, T = 2 π \frac{L}{g}

5 x + 71 + 16 = 22

x^{\frac{3}{2}} - 11 = 16

6 x + 48 - 1 = 5

What is the answer to sqrt(x+4)=x^2-4 ?
The answer to sqrt(x+4)=x^2-4 is x\approx 2.56155…,x\approx-2.30277…
Solve for x: sqrt(x+4)=x^2-4
The solution is x\approx 2.56155…,x\approx-2.30277…