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Question
Solve the following equation: 2x2 - x - 6 = 0
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Solution
2x2 - x - 6 = 0
`"x"^2 - 1/2 "x" - 3 = 0`
`"x"^2 - 2"x" + 3/2"x" - 3 = 0 `
`"x"("x" - 2) + 3/2 ("x" - 2) = 0`
`("x" - 2)("x" + 3/2) = 0`
(x - 2) = 0 , `("x" + 3/2) = 0`
x = 2 , x = `-3/2`
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