Solve the given two equations and select the correct answer from the given options.
$I.$ $x^{2}-24x+144=0$
$II.$ $y^{2}-26y+169=0$

  • A
    If $x < y$
  • B
    If $x > y$
  • C
    If $x = y$
  • D
    If $x \geq y$

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Solve the given two equations and select the correct option.
$I.$ $x = \sqrt[3]{2744}$
$II.$ $y = \sqrt{487}$

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Solve the given two equations and select the correct option.
$I.$ $\sqrt{500} x + \sqrt{402} = 0$
$II.$ $\sqrt{360} y + \sqrt{200} = 0$

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Let $\alpha$ and $\beta$ be the roots of the equation $5x^{2} + 6x - 2 = 0$. If $S_{n} = \alpha^{n} + \beta^{n}$ for $n = 1, 2, 3, \ldots$,then:

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