AP EAMCET · Maths · Quadratic Equation
The product and sum of the roots of the equation \(\left|x^2\right|-5|x|-24=0\) are respectively
- A \(-64,0\)
- B \(-24, 5\)
- C \(5, -24\)
- D \(0, 72\)
Answer & Solution
Correct Answer
(A) \(-64,0\)
Step-by-step Solution
Detailed explanation
(a) We have, \(|x|^2-5|x|-24=0\) \(\begin{aligned} & \Rightarrow \quad(|x|-8)(|x|+3)=0 \\ & \Rightarrow \quad|x|-8 \text { or }|x|=-3 \text { is rejected. } \\ & \Rightarrow \quad|x|=8 \\ & \Rightarrow \quad x= \pm 8 \end{aligned}\) \(\therefore \quad\) The roots of this…
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