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Find the Quadratic Equation, Whose Solution Set is : (-2,3} - Mathematics

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Question

Find the quadratic equation, whose solution set is :

(-2,3}

Sum

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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Chapter 5: Quadratic Equations - Exercise 5 (C) [Page 59]

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Selina Mathematics [English] Class 10 ICSE
Chapter 5 Quadratic Equations
Exercise 5 (C) | Q 21.2 | Page 59
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