Category: Algebra

Question Number 179327 by greougoury555 last updated on 28/Oct/22 $$Findpolynomialu,v\in Q\left[x\right]such$$$$that(x^4-1)u\left(x\right)+(x^7-1)v\left(x\right)=(x-1)$$ Answered by manxsol last updated on 28/Oct/22 $$\left({x}−\mathrm{1}\right)\left({x}^{\mathrm{3}} +{x}^{\mathrm{2}}…

Question Number 113767 by Khanacademy last updated on 15/Sep/20 $$$$$$$$ Commented by Khanacademy last updated on 15/Sep/20 $$\left(\mathit{A}\mathit{B}//\mathit{C}\mathit{D}\right)$$$$\boldsymbol{{E}}\:\epsilon\boldsymbol{{BC}} \…

Question Number 48225 by gunawan last updated on 21/Nov/18 $$\mathrm{prove}\mathrm{that}$$$$\exp \left(\frac{2+\pi \mathrm{i}}{4}\right)=\sqrt{\frac{e}{2}}(1+i)$$$$\cos (z_1+z_2)=\cos z_1\cos z_2-\sin z_1\sin z_2$$ Answered by Smail last…

Question Number 179284 by Agnibhoo98 last updated on 27/Oct/22 $$\mathrm{Solve}\mathrm{for}\mathit{x}$$$$\frac{a}{ax-1}+\frac{b}{bx-1}=a+b[x\ne \frac{1}{a},\frac{1}{b}]$$ Answered by FelipeLz last updated on 27/Oct/22 $$\frac{a(bx-1)+b(ax-1)}{(ax-1)(bx-1)}=a+b$$$$\frac{\mathrm{2}{abx}−\left({a}+{b}\right)}{{abx}^{\mathrm{2}} −\left({a}+{b}\right){x}+\mathrm{1}}\:=\:{a}+{b}…

Question Number 48204 by ajfour last updated on 20/Nov/18 $$2(x^4-2x^2+3)(y^4-3y^2+4)=7$$$$Find(x,y).$$ Answered by ajfour last updated on 20/Nov/18…