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Question
Solve the following equation: 2x2 - 3x - 9=0
Solution
2x2 - 3x - 9=0
`"x"^2 - 3/2"x" - 9/2 = 0`
`"x"^2 - 3x + 3/2 "x" - 9/2 =0`
`"x"("x" - 3) + 3/2 ("x" - 3) = 0`
`("x" - 3)("x" + 3/2) = 0`
`"(x - 3)" = 0 , ("x" + 3/2) = 0`
x = 3 , x = `-3/2`
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