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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 $\Big(\text{x}+\frac{1}{\text{x}}\Big)=5,$ then $\Big(\text{x}^2+\frac{1}{\text{x}^2}\Big)=?$
  • A
    $25$
  • B
    $27$
  • ✓
    $23$
  • D
    $25\frac{1}{25}$
✓

Answer

Correct option: C.
$23$
$\Big(\text{x}+\frac{1}{\text{x}}\Big)=5,$
$\Big(\text{x}+\frac{1}{\text{x}}\Big)^2=(5)^2$
$\Rightarrow​​\text{x}^2+\frac{1}{\text{x}^2}+2=25$
$\Rightarrow​​\text{x}^2+\frac{1}{\text{x}^2}+25-2=23$

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