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12 November, 20:59

What interval contains a positive solution to the equation 0.2x^2-0.8x=1.6

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  1. 12 November, 21:24
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    Step-by-step explanation:

    0.2x² - 0.8x = 1.6

    Multiply both sides by 5.

    x² - 4x = 8

    Complete the square by adding 4 to both sides.

    x² - 4x + 4 = 12

    (x - 2) ² = 12

    x - 2 = ±√12

    x = 2 ± √12

    The positive solution is x = 2 + √12 ≈ 5.46.
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