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1-x-3-3x-2-0-2-e-x-x-2-4-0-




Question Number 211563 by MrGaster last updated on 13/Sep/24
                          1.x^3 −3x−2=0                          2.e^x +x^2 −4=0
$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{1}.\boldsymbol{{x}}^{\mathrm{3}} −\mathrm{3}\boldsymbol{{x}}−\mathrm{2}=\mathrm{0} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{2}.\boldsymbol{{e}}^{\boldsymbol{{x}}} +\boldsymbol{{x}}^{\mathrm{2}} −\mathrm{4}=\mathrm{0} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$ \\ $$
Answered by Frix last updated on 13/Sep/24
1. (x−2)(x+1)^2 =0 ⇒ x=−1∨x=2  2. x≈−1.96463560∨x≈1.05800640
$$\mathrm{1}.\:\left({x}−\mathrm{2}\right)\left({x}+\mathrm{1}\right)^{\mathrm{2}} =\mathrm{0}\:\Rightarrow\:{x}=−\mathrm{1}\vee{x}=\mathrm{2} \\ $$$$\mathrm{2}.\:{x}\approx−\mathrm{1}.\mathrm{96463560}\vee{x}\approx\mathrm{1}.\mathrm{05800640} \\ $$

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