The least integral value of ' a ' such that ( a − 3 ) x 2 + 12 x + ( a + 6 ) > 0∀ x ∈ R is

Mathematics - Quadratic Equation Question with Solution | TestHub

MathematicsQuadratic EquationInequationEasy2 minQB

MathematicsEasyinteger

The least integral value of ' a ' such that $(a - 3) x^{2} + 12 x + (a + 6) > 0\forall x \in R$ is

Answer:

Solution:

$\Rightarrow (i) a - 3 > 0 (ii) (a + 9) (a - 6), a > 6$

Least integral value of $a = 7$

Stream:JEESubject:MathematicsTopic:Quadratic EquationSubtopic:Inequation

⏱ 2mℹ️ Source: QB

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