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Functions — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsFunctions1 Mark
Question
Solve the following for $x$, where $|x|$ is modulus function, $[x]$ is the greatest integer function, $\{x\}$ is a fractional part function.

$x^2+7|x|+12=0$

✓

Answer

$x^2+7|x|+12=0$
$\therefore(|\mathrm{x}|)^2+7|\mathrm{x}|+12=0$
$\therefore(|x|+3)(|x|+4)=0$
$\therefore$ There is no $\mathrm{x}$ that satisfies the equation.
The solution set $=\{\}$ or $\Phi$

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