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Find the quadratic equation, whose solution set is: {3, 5} - Mathematics

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प्रश्न

Find the quadratic equation, whose solution set is: 

{3, 5} 

योग

उत्तर

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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