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Operations on Algebraic Expressions — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsOperations on Algebraic Expressions1 Mark
MCQ
Tick $(\checkmark)$ the correct answer: If $\Big(\text{x}-\frac{1}{\text{x}}\Big)=6,$ then $\Big(\text{x}^2+\frac{1}{\text{x}^2}\Big)=?$
  • A
    $36$
  • ✓
    $38$
  • C
    $32$
  • D
    $36\frac{1}{36}$
✓

Answer

Correct option: B.
$38$
$\Big(\text{x}-\frac{1}{\text{x}}\Big)=6,$
Squaring on both sides
$\Big(\text{x}-\frac{1}{\text{x}}\Big)^2=(6)^2$
$\Rightarrow​​\text{x}^2+\frac{1}{\text{x}^2}-2=36$
$\Rightarrow​​\text{x}^2+\frac{1}{\text{x}^2}=36+2=38$

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