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Question Number 179025 by jlewis last updated on 23/Oct/22

$$2^{10x}-x^5-4=0$$

Commented by MJS_new last updated on 23/Oct/22

$$\mathrm{we}\mathrm{can}\mathrm{only}\mathrm{approximate}$$$$x_1\approx -1.31950087530$$$$x_2\approx .200011544430$$

Commented by jlewis last updated on 24/Oct/22

$$howdoureachtotheapproximation?$$

Commented by MJS_new last updated on 24/Oct/22

$$\mathrm{try}\mathrm{a}\mathrm{few}\mathrm{values}$$$$f\left(x\right)=2^{10x}-x^5-4$$$$f(-2)\approx 28>0$$$$f(-1)\approx -3<0$$$$f\left(0\right)=-3<0$$$$f\left(1\right)=1019>0$$$$\Rightarrow \mathrm{we}\mathrm{must}\mathrm{search}\mathrm{in}\mathrm{these}\mathrm{intervals}$$$$]-2;-1[$$$$]0;1[$$

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