Category: Algebra

Question Number 7739 by upendrakishor99@gmail.com last updated on 13/Sep/16 $${Ifz}_1,z_{2}becomplexnumbers,provethat$$$$tan(z_1+z_2)={tanz}_1+{tanz}_2/1-{tanz}_1{tanz}_2$$$$$$$$$$…

Question Number 7728 by FilupSmith last updated on 13/Sep/16 $$\frac{dN}{dt}=N^t$$$$N\left(t\right)=?$$ Commented by sou1618 last updated on 13/Sep/16 $$N\left(t\right)=\int N^{t}dt$$$$\:\:\:\:\:\:\:\:=\int{e}^{{t}\:{lnN}}…

Question Number 138783 by mathdanisur last updated on 18/Apr/21 $$Solveforrealnumbees:$$$$\{\begin{array}{l}{a}^{16}+1=\frac{a+b}{2}\\ b^{16}+1=\frac{b+c}{2}\\ c^{16}+1=\frac{c+x}{2}\end{array}$$ Commented by mr W last updated on 18/Apr/21…

Question Number 7697 by Rohit 57 last updated on 09/Sep/16 $$Q.1whichtermofA.P:3,15,27,39\dots$$$$\dots willbe132morethanits54thterm.$$ Commented by prakash jain last updated on 09/Sep/16 $$\mathrm{The}\:\mathrm{given}\:\mathrm{series} \…

Question Number 138766 by nadovic last updated on 18/Apr/21 $$\mathrm{If}\alpha \mathrm{and}\beta \mathrm{are}\mathrm{the}\mathrm{roots}\mathrm{of}\mathrm{the}\mathrm{equation}$$$$3x^2+x+2=0,\mathrm{find}\mathrm{the}\mathrm{equation}\mathrm{whose}$$$$\mathrm{roots}\mathrm{are}\frac{1}{{\alpha }^2}\mathrm{and}\frac{1}{{\beta }^2}\mathrm{and}\mathrm{show}\mathrm{that}$$$$27{\alpha }^4=11\alpha +10.$$ Commented by MJS_new…