Is { x : x 2 \- 7x \+ 12 = 0 } = { 3, 4 } ?

x 2 - 7x + 12 = 0 ⇒ x 2 - 3x - 4x + 12 = 0 ⇒ (x 2 - 3x) - (4x - 12) = 0 ⇒ x(x - 3) - 4(x - 3) = 0 ⇒ (x - 3)(x - 4) = 0 ⇒ (x - 3) = 0 or (x - 4) = 0 ⇒ x = 3 or x = 4 Yes, { x : x 2 \- 7x \+ 12 = 0 } = { 3, 4 }.

Mathematics

Is { x : x² - 7x + 12 = 0 } = { 3, 4 } ?

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Answer

x² - 7x + 12 = 0

⇒ x² - 3x - 4x + 12 = 0

⇒ (x² - 3x) - (4x - 12) = 0

⇒ x(x - 3) - 4(x - 3) = 0

⇒ (x - 3)(x - 4) = 0

⇒ (x - 3) = 0 or (x - 4) = 0

⇒ x = 3 or x = 4

Yes, { x : x² - 7x + 12 = 0 } = { 3, 4 }.

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Mathematics

Is { x : x² - 7x + 12 = 0 } = { 3, 4 } ?

Sets

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Is { x : x2 - 7x + 12 = 0 } = { 3, 4 } ?

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