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# Find the Quadratic Equation, Whose Solution Set Is: {3,5} - ICSE Class 10 - Mathematics

#### Question

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

#### Solution

Since solution set is {3,5}

=> x = 3 or x = 5

=> x - 3 = 0 or x - 5 = 0

=> (x - 3)(x - 5) = 0

=> x^2 - 5x - 3x + 15 = 0

=> x^2 - 8x + 15 = 0 which is the required equation.

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Solution Find the Quadratic Equation, Whose Solution Set Is: {3,5} Concept: Quadratic Equations.
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