ICSE BoardEnglish MediumSTD 10MathematicsQuadratic Equations2 Marks
Question
Find the quadratic equation, whose solution set is :
(-2,3}
✓
Answer
Since solution set is $\{-2,3)$
$\Rightarrow x = -2$ or $x = 3$
$\Rightarrow x + 2 = 0$ or $x - 3 = 0$
$\Rightarrow (x + 2)(x -3) = 0$
$\Rightarrow x^2 - 3x + 2x - 6 = 0$
$\Rightarrow x^2 - x - 6 = 0$
which is the required equation.
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