The least integral value α of x such that x 2 + 5 x − 14 x − 5 > 0 , satisfies :

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Mathematics - Quadratic Equation Question with Solution | TestHub

MathematicsQuadratic EquationInequationEasy2 minPYQ_2013

MathematicsEasysingle choice

The least integral value $α$ of $x$ such that $\frac{x - 5}{x ^{2} + 5 x - 14} > 0$ , satisfies :

Options:

Answer:

Solution:

$\frac{x - 5}{x ^{2} + 5 x - 14} > 0 \Rightarrow x^{2} + 5 x - 14 < x - 5 \Rightarrow x^{2} + 4 x - 9 < 0 \Rightarrow α = - 5, - 4, - 3, - 2, - 1, 0, 1$ $α = - 5$ does not satisfy any of the options $α = - 4$ satisfy the option (a) $α^{2} + 3 α - 4 = 0$

Stream:JEESubject:MathematicsTopic:Quadratic EquationSubtopic:Inequation

⏱ 2mℹ️ Source: PYQ_2013

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