AP EAMCET · Maths · Quadratic Equation
If the equation \(2 x^3+5 x^2-4 x-12=0\) has a repeated root, then the constant term of the quadratic equation whose roots are the distinct roots of the given equation is
- A \(-6\)
- B \(-5\)
- C \(-4\)
- D \(-2\)
Answer & Solution
Correct Answer
(A) \(-6\)
Step-by-step Solution
Detailed explanation
Given equation \(2 x^3+5 x^2-4 x-12=0\) \(\begin{aligned} & \Rightarrow 2 x^3+4 x^2+x^2+2 x-6 x-12=0 \\ & \Rightarrow\left(2 x^2+x-6\right)(x+2)=0 \\ & \Rightarrow\left(2 x^2+4 x-3 x-6\right)(x+2)=0 \end{aligned}\)…
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