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Question Number 188721 by Rupesh123 last updated on 06/Mar/23

Answered by Frix last updated on 06/Mar/23

$$x⩾0$$$$\Rightarrow$$$$0⩽\sqrt{x}<\mathrm{\infty }$$$$-2.73581...⩽\sin x+2\sin 2x⩽2.73581...$$$$[\mathrm{Exact}\mathrm{values}\pm \frac{\sqrt{6(789+43\sqrt{129}})}{32}]$$$$\Rightarrow \mathrm{No}\mathrm{possible}\mathrm{solution}\mathrm{for}x>\frac{3(789+43\sqrt{129})}{512}=7.48468...$$$$x_1=0$$$$x_2\approx 1.51276$$$$x_3\approx 7.00698$$$$x_4\approx 7.25028$$$$\mathrm{No}\mathrm{other}\mathrm{real}\mathrm{solutions}$$

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