What is the answer to q=400-sqrt(q) ?

The answer to q=400-sqrt(q) is q=(801-sqrt(1601))/2

Solve for q: q=400-sqrt(q)

The solution is q=(801-sqrt(1601))/2

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q = 400 - q

q = \frac{801 - 1601}{2}

Decimal Notation

q = 380.49375 \dots

Solution steps

q = 400 - q

Remove square roots

q^{2} - 800 q + 160000 = q

Solve

q^{2} - 800 q + 160000 = q : q = \frac{801 + 1601}{2}, q = \frac{801 - 1601}{2}

q = \frac{801 + 1601}{2}, q = \frac{801 - 1601}{2}

Verify Solutions:

q = \frac{801 + 1601}{2}

False

, q = \frac{801 - 1601}{2}

True

The solution is

q = \frac{801 - 1601}{2}

x, y = 18 x

3 4 x - 9 = \frac{5}{6}

4 x + 1 - 4 = 0

m^{3} = 2 7^{- 1}

\frac{- 2 x + 1}{9 - ( x - 1 )} = 1

What is the answer to q=400-sqrt(q) ?
The answer to q=400-sqrt(q) is q=(801-sqrt(1601))/2
Solve for q: q=400-sqrt(q)
The solution is q=(801-sqrt(1601))/2