Algebra – Page 844

Question-78102

Tinku Tara June 3, 2023 Algebra 0 Comments

Question Number 78102 by Pratah last updated on 14/Jan/20 Commented by MJS last updated on 14/Jan/20 $solve the system for a, b, c, d with any of$ $these as parameter, then calculate the$ $needed values \Rightarrow done!$ Answered by…

s-ut-1-2-at-2-t-2-2-u-a-t-2-s-a-0-by-the-use-of-quadratic-formula-t-2u-a-4u-2-a-2-4s-2-t-u-a-u-2-a-2-s-Victor-Francis-

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Question Number 143597 by Videz last updated on 16/Jun/21 $s = u t + \frac{1}{2} {a t}^{2} \Rightarrow t^{2} + 2 \frac{u}{a} t - 2 \frac{s}{a} = 0$ $b y t h e u s e o f q u a d r a t i c f o r m u l a$ $t = \frac{- \frac{2 u}{a} \pm \sqrt{\frac{4 u^{2}}{a^{2}} + 4 s}}{2}$ $t = - \frac{u}{a} \pm \sqrt{\frac{u^{2}}{a^{2}} + s}$ $${Victor}\:\:{Francis} \…

a-b-c-gt-0-and-a-b-c-k-min-1-1-a-2-1-1-b-2-1-1-c-2-

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Question Number 143591 by mathdanisur last updated on 16/Jun/21 $a; b; c > 0 a n d a + b + c = k$ $m i n (\frac{1}{1 + a^{2}} + \frac{1}{1 + b^{2}} + \frac{1}{1 + c^{2}}) = ?$ Answered by Olaf_Thorendsen last updated on 16/Jun/21 $$\mathrm{Let}\:{f}\left({a},{b},{c}\right)\:=\:\frac{\mathrm{1}}{\mathrm{1}+{a}^{\mathrm{2}}…

x-2-xy-y-2-7-x-3-y-2-xy-3-xy-2-Find-x-y-

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Question Number 143584 by Huy last updated on 16/Jun/21 ${\begin{cases} x^{2} - x y + y^{2} = 7 \\ (x + 3) (y - 2) = \sqrt{x y + 3} + \sqrt{x y - 2} \end{cases}$ $F i n d x, y$ Answered by MJS_new last updated on 16/Jun/21 $$\mathrm{assuming}\:\mathrm{both}\:\sqrt{{xy}+\mathrm{3}}\:\mathrm{and}\:\sqrt{{xy}−\mathrm{2}}\:\mathrm{are}\:\in\mathbb{N} \…

x-3-x-c-0-let-x-t-h-t-s-t-3-3ht-2-3h-2-1-t-h-3-h-c-0-let-t-p-q-p-q-s-p-3-q-3-3pq-p-q-3h-p-2-q-2-6hpq-3h-2-1-p-q-h-3-h-c-0-p-4-q-4-pq-p-2-q-

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Question Number 143582 by ajfour last updated on 16/Jun/21 $x^{3} - x - c = 0$ $l e t x = t + h$ $(t - s) {t^{3} + 3 {h t}^{2} + (3 h^{2} - 1) t$ $+ (h^{3} - h - c)} = 0$ $l e t t = p + q$ $$\left({p}+{q}−{s}\right)\left\{{p}^{\mathrm{3}}…

Question-78049

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Question Number 78049 by Pratah last updated on 13/Jan/20 Commented by Pratah last updated on 14/Jan/20 $?$ Answered by behi83417@gmail.com last updated on…

Question-78040

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Question Number 78040 by Pratah last updated on 13/Jan/20 Commented by mr W last updated on 13/Jan/20 $t h e s a m e p a t h a s f o r$ $2 x^{3} + 5 x - 1 = 0$ Commented by…

Question-78037

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Question Number 78037 by Pratah last updated on 13/Jan/20 Commented by MJS last updated on 13/Jan/20 $see question 77009$ Commented by Pratah last updated on…

Find-the-equation-to-the-two-circles-each-of-which-touch-the-three-circle-x-2-y-2-4a-2-x-2-y-2-2ax-0-x-2-y-2-2ax-0-

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Question Number 77990 by peter frank last updated on 12/Jan/20 $F i n d t h e e q u a t i o n t o t h e$ $t w o c i r c l e s e a c h o f$ $w h i c h t o u c h t h e t h r e e c i r c l e$ $x^{2} + y^{2} = 4 a^{2}$ $x^{2} + y^{2} + 2 a x = 0$ $${x}^{\mathrm{2}}…

If-P-1-P-2-P-3-will-be-taken-as-point-in-an-Argand-diagram-representing-complex-number-Z-1-Z-2-Z-3-and-point-P-1-P-2-P-3-is-an-equalateral-triangle-show-that-Z-2-Z-3-2-Z-3-Z-1-

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Question Number 77991 by peter frank last updated on 12/Jan/20 $I f P_{1} P_{2} P_{3} w i l l b e t a k e n$ $a s p o i n t i n a n A r g a n d$ $d i a g r a m r e p r e s e n t i n g$ $c o m p l e x n u m b e r$ $${Z}_{\mathrm{1}} ,{Z}_{\mathrm{2}} ,{Z}_{\mathrm{3}} \:\:{and}\:{point}…

Category: Algebra