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Question
Find the quadratic equation, whose solution set is:
{3,5}
Solution
Since solution set is
⇒ x = 3 or x = 5
⇒ x − 3 = 0 or x − 5 = 0
⇒ (x − 3) (x − 5) = 0
⇒ x2 − 5x − 3x + 15 = 0
⇒ x2 − 8x + 15 = 0 which is the required equation.
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