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Mathematics - Quadratic Equation Question with Solution | TestHub

MathematicsQuadratic EquationTheory of equationsMedium2 minPYQ_2004

MathematicsMediumsingle choice

If one root of the equation $x^{2} + p x + 12 = 0$ is 4 , while the equation $x^{2} + p x + q = 0$ has equal roots, then the value of ' $q$ ' is

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Solution:

Since 4 is one of the root of $x^{2} + p x + 12 = 0 \Rightarrow 16 + 4 p + 12 = 0 \Rightarrow p = - 7$ and equation $x^{2} + p x + q = 0$ has equal roots $\Rightarrow D = 49 - 4 q = 0 \Rightarrow q = \frac{49}{4}$

Stream:JEESubject:MathematicsTopic:Quadratic EquationSubtopic:Theory of equations

⏱ 2mℹ️ Source: PYQ_2004

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