Algebra – Page 329

find-all-values-of-m-R-such-that-the-equation-0-x-arctany-y-dy-mx-has-two-real-roots-x-1-0-x-2-0-

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Question Number 180856 by Shrinava last updated on 18/Nov/22 $find all values of m \in R such that the equation :$ $\int_{0}^{x} \frac{\arctan y}{y} dy = mx$ $has two real roots : x_{1} \in (- \infty; 0), x_{2} \in (0; \infty)$ Answered by mr W last…

Solve-simultaneously-for-s-in-terms-of-a-and-b-h-2-b-k-2-s-2-i-h-2-a-2-k-2-b-2-1-ii-h-s-2-2-k-b-1-s-2-4a-2-s-2-i

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Question Number 49755 by ajfour last updated on 10/Dec/18 $S o l v e s i m u l t a n e o u s l y f o r s i n t e r m s$ $o f a a n d b .$ $h^{2} + {(b - k)}^{2} = s^{2} \dots . . (i)$ $\frac{h^{2}}{a^{2}} + \frac{k^{2}}{b^{2}} = 1 \dots . . (i i)$ $$\left({h}−\frac{{s}}{\mathrm{2}}\right)^{\mathrm{2}}…

Question-180800

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Question Number 180800 by Shrinava last updated on 17/Nov/22 Terms of Service Privacy Policy Contact: info@tinkutara.com

solve-1-x-x-2-2-x-x-2-

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Question Number 180785 by Vynho last updated on 17/Nov/22 $s o l v e (1 - x - x^{2} \dots) (2 - x - x^{2} \dots)$ Answered by Rasheed.Sindhi last updated on 17/Nov/22 $$\left(\:\mathrm{1}−\left({x}+{x}^{\mathrm{2}} +…\right)\:\right)\left(\:\mathrm{2}−\left({x}+{x}^{\mathrm{2}} +…\right)\:\right) \…

Question-180778

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Question Number 180778 by mathlove last updated on 17/Nov/22 Terms of Service Privacy Policy Contact: info@tinkutara.com

Find-all-functions-f-R-R-for-all-x-y-R-such-that-f-f-x-y-yf-x-xf-y-

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Question Number 180759 by depressiveshrek last updated on 16/Nov/22 $F i n d a l l f u n c t i o n s f : R \to R f o r a l l x, y \in R s u c h t h a t$ $f (f (x - y) - y f (x)) = x f (y)$ Answered by aleks041103 last updated on 17/Nov/22 $x = 0$ $$\Rightarrow{f}\left({f}\left(−{y}\right)−{yf}\left(\mathrm{0}\right)\right)=\mathrm{0} \…

Show-that-n-N-u-0-u-1-u-n-v-0-v-1-v-n-C-k-n-u-k-i-0-k-k-i-v-i-k-n-v-k-i-0-k-1-k-1-k-i-u-i-

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Question Number 115218 by Ar Brandon last updated on 24/Sep/20 $Show that \forall n \in N, \forall u_{0}, u_{1}, \dots, u_{n}, v_{0}, v_{1}, \dots v_{n} \in C$ $$\forall\mathrm{k}\leqslant\mathrm{n};\:\mathrm{u}_{\mathrm{k}} =\sum_{\mathrm{i}=\mathrm{0}} ^{\mathrm{k}} $(\begin{matrix} k \\ i \end{matrix})$ \mathrm{v}_{\mathrm{i}} \Leftrightarrow\forall\mathrm{k}\leqslant\mathrm{n};\:\mathrm{v}_{\mathrm{k}} =\sum_{\mathrm{i}=\mathrm{0}} ^{\mathrm{k}}…

Question-180744

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Question Number 180744 by harckinwunmy last updated on 16/Nov/22 Commented by cyathokoza last updated on 17/Nov/22 $I T R Y T H I S T H E N S U B M I T . T H E A N S W E R S$ Commented by Acem last updated on…

Given-x-y-z-R-such-that-x-2-3xy-4y-2-z-0-when-xy-z-reaches-its-max-value-find-the-max-value-of-2-x-1-y-2-z-

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Question Number 180728 by CrispyXYZ last updated on 16/Nov/22 $Given x, y, z \in R^{+} such that x^{2} - 3 x y + 4 y^{2} - z = 0 .$ $when \frac{x y}{z} reaches its \max value, find the \max value of$ $\frac{2}{x} + \frac{1}{y} - \frac{2}{z} .$ Answered by mr W last updated…

let-p-x-x-2n-x-n-1-1-determine-the-roots-of-p-x-2-factorize-inside-C-x-the-polynom-p-x-3-solve-p-x-0-and-p-x-2-

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Question Number 49647 by maxmathsup by imad last updated on 08/Dec/18 $l e t p (x) = x^{2 n} - x^{n} + 1$ $1) d e t e r m i n e t h e r o o t s o f p (x)$ $2) f a c t o r i z e i n s i d e C [x] t h e p o l y n o m p (x) .$ $3) s o l v e p (x) = 0 a n d p (x) = 2$ Commented by maxmathsup…

Category: Algebra