What is the answer to 1000=k+sqrt(k) ?

The answer to 1000=k+sqrt(k) is k=(2001-sqrt(4001))/2

Solve for k: 1000=k+sqrt(k)

The solution is k=(2001-sqrt(4001))/2

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1000 = k + k

k = \frac{2001 - 4001}{2}

Decimal Notation

k = 968.87327 \dots

Solution steps

1000 = k + k

Remove square roots

1000000 - 2000 k + k^{2} = k

Solve

1000000 - 2000 k + k^{2} = k : k = \frac{2001 + 4001}{2}, k = \frac{2001 - 4001}{2}

k = \frac{2001 + 4001}{2}, k = \frac{2001 - 4001}{2}

Verify Solutions:

k = \frac{2001 + 4001}{2}

False

, k = \frac{2001 - 4001}{2}

True

The solution is

k = \frac{2001 - 4001}{2}

7 x - 47 + 8 = 12

15.4 = 2 π \frac{L}{32}

2 x + 7 = 13

1 = 0.0028 R^{1.9713}

What is the answer to 1000=k+sqrt(k) ?
The answer to 1000=k+sqrt(k) is k=(2001-sqrt(4001))/2
Solve for k: 1000=k+sqrt(k)
The solution is k=(2001-sqrt(4001))/2