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Question Number 185166 Answers: 1 Comments: 0

Question Number 185165 Answers: 1 Comments: 0

Simplify : ((i^(2022) +i^(2023) +i^(2024) +i^(2025) )/(1+i))

$$\mathrm{Simplify}\::\:\frac{\mathrm{i}^{\mathrm{2022}} +\mathrm{i}^{\mathrm{2023}} +\mathrm{i}^{\mathrm{2024}} +\mathrm{i}^{\mathrm{2025}} }{\mathrm{1}+\mathrm{i}} \\ $$

Question Number 185164 Answers: 0 Comments: 0

Question Number 185163 Answers: 0 Comments: 0

Question Number 185154 Answers: 0 Comments: 0

Question Number 185151 Answers: 1 Comments: 0

Question Number 185143 Answers: 0 Comments: 0

Question Number 185136 Answers: 0 Comments: 0

Question Number 185137 Answers: 2 Comments: 0

Question Number 185134 Answers: 1 Comments: 0

Question Number 185153 Answers: 0 Comments: 0

Question Number 185126 Answers: 0 Comments: 0

(∣y∣−∣x∣−2,8)(∣x∣−∣y∣−1,8) = 0 ∣y∣ = a ∣x∣ + a ∣∣x∣ − 1,1∣ + 5 At what value of a does the equation have 4 roots?

$$\left(\mid\mathrm{y}\mid−\mid\mathrm{x}\mid−\mathrm{2},\mathrm{8}\right)\left(\mid\mathrm{x}\mid−\mid\mathrm{y}\mid−\mathrm{1},\mathrm{8}\right)\:=\:\mathrm{0} \\ $$$$\mid\mathrm{y}\mid\:=\:\mathrm{a}\:\mid\mathrm{x}\mid\:+\:\mathrm{a}\:\mid\mid\mathrm{x}\mid\:−\:\mathrm{1},\mathrm{1}\mid\:+\:\mathrm{5} \\ $$$$\mathrm{At}\:\mathrm{what}\:\mathrm{value}\:\mathrm{of}\:\:\boldsymbol{\mathrm{a}}\:\:\mathrm{does}\:\mathrm{the}\:\mathrm{equation} \\ $$$$\mathrm{have}\:\:\mathrm{4}\:\:\mathrm{roots}? \\ $$

Question Number 185127 Answers: 0 Comments: 3

{ (((√(x^2 − (5/9) + (√(y + x^2 − (5/9))))) = y)),(((√(y^2 − (4/9) + (√(x + y^2 − (4/9))))) = x)) :} Find: x , y = ?

$$\begin{cases}{\sqrt{\mathrm{x}^{\mathrm{2}} \:−\:\frac{\mathrm{5}}{\mathrm{9}}\:+\:\sqrt{\mathrm{y}\:+\:\mathrm{x}^{\mathrm{2}} \:−\:\frac{\mathrm{5}}{\mathrm{9}}}}\:=\:\mathrm{y}}\\{\sqrt{\mathrm{y}^{\mathrm{2}} \:−\:\frac{\mathrm{4}}{\mathrm{9}}\:+\:\sqrt{\mathrm{x}\:+\:\mathrm{y}^{\mathrm{2}} \:−\:\frac{\mathrm{4}}{\mathrm{9}}}}\:=\:\mathrm{x}}\end{cases} \\ $$$$\mathrm{Find}:\:\:\:\mathrm{x}\:,\:\mathrm{y}\:=\:? \\ $$

Question Number 185128 Answers: 1 Comments: 0

Question Number 185122 Answers: 0 Comments: 2

{ (((√(x^2 − (5/9) + (√(y + x^2 − (4/9))))) = y)),(((√(y^2 − (4/9) + (√(x + y^2 − (4/9))))) = x)) :} find: x , y = ?

$$\begin{cases}{\sqrt{\mathrm{x}^{\mathrm{2}} \:−\:\frac{\mathrm{5}}{\mathrm{9}}\:+\:\sqrt{\mathrm{y}\:+\:\mathrm{x}^{\mathrm{2}} \:−\:\frac{\mathrm{4}}{\mathrm{9}}}}\:=\:\mathrm{y}}\\{\sqrt{\mathrm{y}^{\mathrm{2}} \:−\:\frac{\mathrm{4}}{\mathrm{9}}\:+\:\sqrt{\mathrm{x}\:+\:\mathrm{y}^{\mathrm{2}} \:−\:\frac{\mathrm{4}}{\mathrm{9}}}}\:=\:\mathrm{x}}\end{cases} \\ $$$$\mathrm{find}:\:\:\:\mathrm{x}\:,\:\mathrm{y}\:=\:? \\ $$

Question Number 185111 Answers: 3 Comments: 3

Question Number 185109 Answers: 0 Comments: 0

Question Number 185107 Answers: 2 Comments: 0

Question Number 185106 Answers: 1 Comments: 2

Question Number 185104 Answers: 2 Comments: 0

Question Number 185101 Answers: 2 Comments: 0

Question Number 185090 Answers: 1 Comments: 2

x^3 +1 = 2((2x−1))^(1/3) x=?

$$\:\:\:\: \\ $$$$ \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{x}}^{\mathrm{3}} +\mathrm{1}\:=\:\:\mathrm{2}\sqrt[{\mathrm{3}}]{\mathrm{2}\boldsymbol{\mathrm{x}}−\mathrm{1}} \\ $$$$\:\:\:\:\:\:\:\boldsymbol{\mathrm{x}}=? \\ $$$$ \\ $$$$ \\ $$

Question Number 185087 Answers: 2 Comments: 0

(x^2 +x+1)^2 +(y^2 −y+1)^2 =2004^2 x;y∈Z x;y=?

$$ \\ $$$$ \\ $$$$\:\:\:\:\left(\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\boldsymbol{\mathrm{x}}+\mathrm{1}\right)^{\mathrm{2}} +\left(\boldsymbol{\mathrm{y}}^{\mathrm{2}} −\boldsymbol{\mathrm{y}}+\mathrm{1}\right)^{\mathrm{2}} =\mathrm{2004}^{\mathrm{2}} \\ $$$$\:\:\:\:\:\:\:\boldsymbol{\mathrm{x}};\boldsymbol{\mathrm{y}}\in\boldsymbol{{Z}} \\ $$$$\:\:\:\:\:\:\:\boldsymbol{\mathrm{x}};\boldsymbol{\mathrm{y}}=?\:\:\: \\ $$$$ \\ $$

Question Number 185086 Answers: 1 Comments: 0

y = ln(x+(√(x^2 +1))) (d^n y/dx^n ) = ?

$$ \\ $$$$\:\:\: \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{y}}\:=\:\boldsymbol{\mathrm{ln}}\left(\boldsymbol{\mathrm{x}}+\sqrt{\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\mathrm{1}}\right) \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\frac{\boldsymbol{\mathrm{d}}^{\boldsymbol{\mathrm{n}}} \boldsymbol{\mathrm{y}}}{\boldsymbol{\mathrm{dx}}^{\boldsymbol{\mathrm{n}}} }\:=\:? \\ $$$$ \\ $$$$ \\ $$

Question Number 185085 Answers: 2 Comments: 0

log_3 (a+1)=log_4 (a+8) a=?? please solution

$$\mathrm{log}_{\mathrm{3}} \left(\mathrm{a}+\mathrm{1}\right)=\mathrm{log}_{\mathrm{4}} \left(\mathrm{a}+\mathrm{8}\right) \\ $$$$\mathrm{a}=?? \\ $$$$\mathrm{please}\:\mathrm{solution} \\ $$

Question Number 185077 Answers: 1 Comments: 0

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