Category: Algebra

Question Number 158097 by zainaltanjung last updated on 31/Oct/21 Answered by Rasheed.Sindhi last updated on 31/Oct/21 $$x^2+px+12:Roots\alpha ,4$$$$\mathrm{product}ofroots:4\alpha =12\Rightarrow \alpha =3\left(otherroot\right)$$$$sumofroots:4+3=-\mathrm{p}\Rightarrow \mathrm{p}=-7$$$${x}^{\mathrm{2}} +{px}+{q}=\mathrm{0}\Rightarrow{x}^{\mathrm{2}}…

Question Number 92557 by I want to learn more last updated on 07/May/20 $$\mathrm{If}{\mathrm{a}}_1=5,{\mathrm{a}}_2=13\mathrm{and}{\mathrm{a}}_{\mathrm{n}+2}={5\mathrm{a}}_{\mathrm{n}+1}-{6\mathrm{a}}_{\mathrm{n}}.$$$$\mathrm{Find}{\mathrm{a}}_{\mathrm{n}}$$ Commented by…

Question Number 27000 by abdo imad last updated on 01/Jan/18 $$Pisapolynomialhavngnroots{\left(x_i\right)}_{1⩽i⩽n}with{x}_i\ne x_{j}fori\ne j$$$${find}\:{the}\:{values}\:{of}\:\sum_{{k}\mathrm{1}} ^{{k}={n}} \frac{\mathrm{1}}{{x}−{x}_{{k}} }\:\:{and}\:\:\sum_{{k}=\mathrm{1}} ^{{n}} \frac{\mathrm{1}}{\left({x}−{x}_{{k}} \right)^{\mathrm{2}} }\:. \…

Question Number 26999 by abdo imad last updated on 01/Jan/18 $$calculate\prod _{k=1}^{n}cos\left(\frac{a}{2^k}\right)and0<a<\pi thenfindthevalueof$$$${lim}_{n->\propto }\sum _{k=1}^{n}ln\left(cos\left(\frac{a}{2^k}\right)\right).$$ Answered by prakash…

Question Number 26998 by abdo imad last updated on 01/Jan/18 $$smlifyX=\prod _{p=2}^n\frac{p^3-1}{p^3+1}byusing1,j,j^{2}andj=e^{\frac{i2\pi }{3}}.$$ Terms of Service Privacy Policy Contact:…