Verified answer

Roots

Find the roots of the following:

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2x² - 2x - 12 = 0

• 2(x - 3)(x + 2) = 0
• x - 3 = 0
• x = 3
• x + 2 = 0
• x = -2

• x = 3, -2

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2x² = 162

• 2[2x² = 162]2
• x² = 81
• √x² = √81
• x = 9

• x = 9

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Find the sum and product of the roots:

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-3x² - 6x - 1 = 0

• a = -3, b = -6, c = -1
• -b/a
• -(-6)/-3
• -2
• c/a
• -1/-3
• 1/3

• Sum of the roots: -2
• Product of the roots: 1/3

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-3x² - 6x - 5 = 0

• a = -3, b = -6, c = -5
• -b/a
• -(-6)/-3
• -2
• c/a
• -5/-3
• 5/3

• Sum of the roots: -2
• Product of the roots: 5/3