What is the answer to 4+sqrt(x)=sqrt(16+x^2) ?

The answer to 4+sqrt(x)=sqrt(16+x^2) is x=0,x\approx 4.69291…

Solve for x: 4+sqrt(x)=sqrt(16+x^2)

The solution is x=0,x\approx 4.69291…

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4 + x = 16 + x^{2}

x = 0, x \approx 4.69291 \dots

Solution steps

4 + x = 16 + x^{2}

Remove square roots

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

Solve

64 x = x^{4} - 2 x^{3} + x^{2} : x = 0, x \approx 4.69291 \dots

x = 0, x \approx 4.69291 \dots

Verify Solutions:

x = 0

True

, x \approx 4.69291 \dots

True

The solutions are

x = 0, x \approx 4.69291 \dots

5 x - 26 + 4 = 7

\frac{x}{2 x ^{2} + 9} - \frac{1}{3} = 0

a^{2} + x^{2}

k = 1 + 3 k - 5

x + 3 + x = 9

What is the answer to 4+sqrt(x)=sqrt(16+x^2) ?
The answer to 4+sqrt(x)=sqrt(16+x^2) is x=0,x\approx 4.69291…
Solve for x: 4+sqrt(x)=sqrt(16+x^2)
The solution is x=0,x\approx 4.69291…