Question

${x} ^{2} - 5x + 6 = 0$


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Answer 1

x² - 5x + 6 = 0

a = 1

b = - 5

c = 6

∆ = b² - 4 . a . c

∆ = (-5)² - 4 . 1 . 6

∆ = 25 - 24

∆ = 1

x = - b ± √∆

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2a

x' = - (-5) - 1

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2 . 1

x' = 5 - 1

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2

x' = 4

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2

x' = 2

x" = -(-5) + 1

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2 . 1

x" = 5 + 1

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2

x" = 6

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2

x" = 3

S = {2, 3}