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Question
Find the quadratic equation, whose solution set is:
{−2, 3}
Sum
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Solution
Since solution set is {−2, 3}
⇒ x = – 2 or x = 3
⇒ x + 2 = 0 or x – 3 = 0
⇒ (x + 2)(x – 3) = 0
⇒ x2 – 3x + 2x − 6 = 0
⇒ x2 – x − 6 = 0
Which is the required equation.
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