Question

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Answer 1

$\tt{Let's \: find \: out \: \red{How} \: ?}$

$\tt{We \: have \: \underline{given} \: value \: of \: \red{x}.}$

$\: \: \: \: \: \: \tt{x = \sqrt{30 - \sqrt{30 - \sqrt{30......} } } }$

$\tt{Squaring \: both \: sides, we \: get.}$

$\: \: \: \: \: \: \tt{ {x}^{2} = 30 - x.}$

$\: \: \: \: \: \: \tt{{x}^{2} + x - 30 = 0.}$

$\: \: \: \: \: \: \tt{{x}^{2} + 6x - 5x - 30 = 0.}$

$\: \: \: \: \: \: \tt{x(x + 6) - 5(x + 6) = 0.}$

$\: \: \: \: \: \: \tt{(x + 6)(x - 5) = 0.}$

$\tt{Therefore, the \: value \: of }$

$\: \: \: \: \: \: \: \: \: \huge \tt{c) \: \: \: {x }^{2} = 25.}$

Answer 2

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