What is the answer to x^{1/2}-x=-4 ?

The answer to x^{1/2}-x=-4 is x=(9+17^{1/2})/2

Solve for x: x^{1/2}-x=-4

The solution is x=(9+17^{1/2})/2

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x^{\frac{1}{2}} - x = - 4

x = \frac{9 + 1 7 ^{\frac{1}{2}}}{2}

Decimal Notation

x = 6.56155 \dots

Solution steps

x^{\frac{1}{2}} - x = - 4

Remove square roots

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

Solve

x = 16 - 8 x + x^{2} : x = \frac{9 + 1 7 ^{\frac{1}{2}}}{2}, x = \frac{9 - 1 7 ^{\frac{1}{2}}}{2}

x = \frac{9 + 1 7 ^{\frac{1}{2}}}{2}, x = \frac{9 - 1 7 ^{\frac{1}{2}}}{2}

Verify Solutions:

x = \frac{9 + 1 7 ^{\frac{1}{2}}}{2}

True

, x = \frac{9 - 1 7 ^{\frac{1}{2}}}{2}

False

The solution is

x = \frac{9 + 1 7 ^{\frac{1}{2}}}{2}

x + 4 - 4 x = 1

5 x + 39 - x + 31 = 2

(x + 4)^{\frac{4}{3}} = 81

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

2 x^{2} + 10 = 6 x

What is the answer to x^{1/2}-x=-4 ?
The answer to x^{1/2}-x=-4 is x=(9+17^{1/2})/2
Solve for x: x^{1/2}-x=-4
The solution is x=(9+17^{1/2})/2