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20 October, 23:43

Which are the solutions of the quadratic equation? x2 = 9x + 6 StartFraction negative 9 minus StartRoot 105 EndRoot Over 2 EndFraction comma StartFraction negative 9 + StartRoot 105 EndRoot Over 2 EndFraction StartFraction negative 9 minus StartRoot 57 EndRoot Over 2 EndFraction comma StartFraction negative 9 + StartRoot 57 EndRoot Over 2 EndFraction StartFraction 9 minus StartRoot 105 EndRoot Over 2 EndFraction comma StartFraction 9 + StartRoot 105 EndRoot Over 2 EndFraction StartFraction 9 minus StartRoot 57 EndRoot Over 2 EndFraction comma StartFraction 9 + StartRoot 57 EndRoot Over 2 EndFraction

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Answers (1)
  1. 21 October, 00:01
    0
    The correct answer is C. 9 - √ 105 / 2, 9 + √ 105 / 2

    Step-by-step explanation:

    Let's find the solutions for the quadratic equation:

    x² = 9x + 6

    x² - 9x - 6 = 0

    Using the quadratic formula, we have:

    x = [ - (-9) + / - √ (-9) ² - 4 * 1 * - 6]/2 * 1

    x = [ 9 + / - √ (81 + 24]/2

    x = [ 9 + / - √ (105]/2

    x₁ = [ 9 + √ (105]/2

    x₂ = [ 9 - √ (105]/2

    The correct answer is C. 9 - √ 105 / 2, 9 + √ 105 / 2

    Note: Same answer to question 14133688, answered by me today.
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