Mathematics - Quadratic Equation Question with Solution | TestHub

MathematicsQuadratic EquationTheory of equationsEasy2 minPYQ_2023

MathematicsEasysingle 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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Answer:

Solution:

4 is a root of $x^{2} + p x + 12 = 0$
$\Rightarrow 16 + 4 p + 12 = 0 \Rightarrow p = - 7$
Now, the equation $x^{2} + p x + q = 0$ has equal roots.
$∴ p^{2} - 4 q = 0 \Rightarrow q = \frac{p ^{2}}{4} = \frac{49}{4}$

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

⏱ 2mℹ️ Source: PYQ_2023

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