Chemical Quadratics

Algebra Level 3

x 2 ( 0 , 01 x ) = 6 , 3 × 1 0 4 \frac {x^{2}} {(0,01-x)} = 6,3 \times 10^{-4}

Solve for positive x with 4 decimal places


The answer is 0.0022.

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1 solution

Ebo Peerbooms
Mar 3, 2016

First write out the equation in quadratic form:

x 2 + 6 , 3 × 1 0 4 x × 6 , 3 × 1 0 6 = 0 x^{2} + 6,3 \times 10^{-4} x \times 6,3 \times 10^{-6} = 0

Apply the quadratic formula:

6 , 3 × 1 0 4 + 6 , 3 × 1 0 4 + 4 × 1 × 6 , 3 × 1 0 6 2 = 0 , 0022 \frac{-6,3 \times 10^{-4} \frac{+}{-} \sqrt{6,3 \times 10^{-4} + 4 \times 1 \times 6,3 \times 10^{-6}}}{2} = 0,0022

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