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Question
Find the quadratic equation, whose solution set is:
{3, 5}
Sum
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Solution
Since solution set is {3, 5}
⇒ 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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