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If $x = \sqrt{2 + \sqrt{2 + \sqrt{2 + \dots}}}$,then find the value of $x$.

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Solve the equation $27 x^{2}-10 x+1=0$.

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If ${b_1}{b_2} = 2({c_1} + {c_2})$,then at least one of the equations ${x^2} + {b_1}x + {c_1} = 0$ and ${x^2} + {b_2}x + {c_2} = 0$ has

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