What is the answer to x^2-16sqrt(x)=12 ?

The answer to x^2-16sqrt(x)=12 is x=2(sqrt(3)+2)

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x^2-16sqrt(x)=12

x^{2} - 16 x = 12

x = 2 (3 + 2)

Decimal Notation

x = 7.46410 \dots

Solution steps

x^{2} - 16 x = 12

Remove square roots

256 x = 144 - 24 x^{2} + x^{4}

Solve

256 x = 144 - 24 x^{2} + x^{4} : x = 2 (- 3 + 2), x = 2 (3 + 2)

x = 2 (- 3 + 2), x = 2 (3 + 2)

Verify Solutions:

x = 2 (- 3 + 2)

False

, x = 2 (3 + 2)

True

The solution is

x = 2 (3 + 2)

x^{2} + 2 x - 1 = 5

x + 5 - x - 2 = 1

x + 14 - 3 x - 10 = 0

- x + 2 (0) = 1

5 v - 4 = v

What is the answer to x^2-16sqrt(x)=12 ?
The answer to x^2-16sqrt(x)=12 is x=2(sqrt(3)+2)
Solve for x: x^2-16sqrt(x)=12
The solution is x=2(sqrt(3)+2)