What is the answer to x^2+16x+8x^{1.5}=16 ?

The answer to x^2+16x+8x^{1.5}=16 is x=4(3-2sqrt(2))

Solve for x: x^2+16x+8x^{1.5}=16

The solution is x=4(3-2sqrt(2))

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x^{2} + 16 x + 8 x^{1.5} = 16

x = 4 (3 - 22)

Decimal Notation

x = 0.68629 \dots

Solution steps

x^{2} + 16 x + 8 x^{1.5} = 16

Remove roots

64 x^{3} = x^{4} + 32 x^{3} + 224 x^{2} - 512 x + 256

Solve

64 x^{3} = x^{4} + 32 x^{3} + 224 x^{2} - 512 x + 256 : x = 4, x = 4 (3 + 22), x = 4 (3 - 22)

x = 4, x = 4 (3 + 22), x = 4 (3 - 22)

Verify Solutions:

x = 4

False

, x = 4 (3 + 22)

False

, x = 4 (3 - 22)

True

The solution is

x = 4 (3 - 22)

4 x^{2} - 11 - 6 = x + 2

0 = \frac{x + 6}{6 + x}

x - 3 = 3 + 2

y, x = 6 3 y

What is the answer to x^2+16x+8x^{1.5}=16 ?
The answer to x^2+16x+8x^{1.5}=16 is x=4(3-2sqrt(2))
Solve for x: x^2+16x+8x^{1.5}=16
The solution is x=4(3-2sqrt(2))