AP EAMCET · Maths · Quadratic Equation
For the equation \(x^2-5|x|-14=0\)
- A all roots are real
- B all the roots are imaginary
- C two roots are real
- D no real roots
Answer & Solution
Correct Answer
(A) all roots are real
Step-by-step Solution
Detailed explanation
Given, \(x^2-5|x|-14=0\) \(\begin{array}{ll}\Rightarrow & |x|^2-5|x|-14=0 \\ \Rightarrow & (|x|-7)(|x|+2)=0\end{array}\) \(=|x|=7,|x| \neq-2\) \(\therefore\) All roots are real.
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