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AlgebraQuestion and Answers: Page 273

Question Number 80580 Answers: 2 Comments: 0

Find general solution for k such that 7^k ≡1 mod (35)

$F i n d g e n e r a l s o l u t i o n f o r k s u c h t h a t$ $7^{k} \equiv 1 m o d (35)$

Question Number 80543 Answers: 1 Comments: 6

Question Number 80493 Answers: 0 Comments: 4

Solve for a, b and c a + b + c = (1/2) ..... (i) abc = − (1/4) ...... (iii) ab + ac + bc = (3/2) ...... (iv)

$Solve for a, b and c$ $a + b + c = \frac{1}{2} . . . . . (i)$ $abc = - \frac{1}{4} . . . . . . (iii)$ $ab + ac + bc = \frac{3}{2} . . . . . . (iv)$

Question Number 80503 Answers: 1 Comments: 0

prove that they are infinitely many primes

$prove that they are infinitely many$ $primes$

Question Number 80448 Answers: 1 Comments: 3

Hello All of You verry Nice Day, God bless You love peace and happiness Solve for (x,y)∈R^2 { ((x^2 +y^2 =2x+3y+1)),((x^4 +y^4 =4x^2 +9y^2 +12xy+2x^2 y^2 +18)) :}

$H e l l o A l l o f Y o u v e r r y N i c e D a y, G o d b l e s s Y o u l o v e p e a c e a n d$ $h a p p i n e s s$ $S o l v e f o r (x, y) \in R^{2}$ ${\begin{cases} x^{2} + y^{2} = 2 x + 3 y + 1 \\ x^{4} + y^{4} = 4 x^{2} + 9 y^{2} + 12 x y + 2 x^{2} y^{2} + 18 \end{cases}$

Question Number 80433 Answers: 1 Comments: 6

find the solution of (√(4−x))−2≤x∣x−3∣+4x

$f i n d t h e s o l u t i o n o f$ $\sqrt{4 - x} - 2 ⩽ x ∣ x - 3 ∣ + 4 x$

Question Number 80405 Answers: 1 Comments: 11

Solve: (a) (x − 3)^2 > − 5 (b) 3x^2 > − 12

$Solve :$ $(a) {(x - 3)}^{2} > - 5$ $(b) {3 x}^{2} > - 12$

Question Number 80404 Answers: 1 Comments: 0

Question Number 80362 Answers: 1 Comments: 0

Question Number 80306 Answers: 0 Comments: 1

Question Number 80347 Answers: 1 Comments: 6

let x and y be positif real number such that 1≤x+y≤9 and x≤2y≤3x. what is the largest value of ((9−y)/(9−x))

$l e t x a n d y b e p o s i t i f r e a l n u m b e r$ $s u c h t h a t 1 ⩽ x + y ⩽ 9 a n d$ $x ⩽ 2 y ⩽ 3 x . w h a t i s t h e$ $l a r g e s t v a l u e o f \frac{9 - y}{9 - x}$

Question Number 80262 Answers: 0 Comments: 2

Question Number 80261 Answers: 0 Comments: 1

Question Number 80243 Answers: 0 Comments: 7

if x+(1/x)=a (a∈R) find x^n +(1/x^n )=? (n∈N)

$i f x + \frac{1}{x} = a (a \in R)$ $f i n d x^{n} + \frac{1}{x^{n}} = ?$ $(n \in N)$

Question Number 80219 Answers: 1 Comments: 0

Question Number 80209 Answers: 2 Comments: 1

Question Number 80208 Answers: 0 Comments: 0

Question Number 80204 Answers: 0 Comments: 2

Question Number 80199 Answers: 2 Comments: 1

Question Number 80178 Answers: 0 Comments: 4

Question Number 80161 Answers: 0 Comments: 10

Find the relation between q and r so that x^3 +3px^2 +qx+r is a perfect cube for all value of x

$F i n d t h e r e l a t i o n b e t w e e n$ $q a n d r s o t h a t$ $x^{3} + 3 {p x}^{2} + q x + r i s a p e r f e c t$ $c u b e f o r a l l v a l u e o f x$

Question Number 80160 Answers: 0 Comments: 1

∫_0 ^∞ (x^3 /(e^(2x) −e^x ))

$\int_{0}^{\infty} \frac{x^{3}}{e^{2 x} - e^{x}}$

Question Number 80139 Answers: 1 Comments: 6

Question Number 80142 Answers: 2 Comments: 0

a. Σ_(k=1) ^∞ ((k^3 /2^k ))=? b. Σ_(k=1) ^∞ (((k^3 +k^2 +k+1)/7^k ))=?

$a . \underset{k = 1}{\sum^{\infty}} (\frac{k^{3}}{2^{k}}) = ?$ $b . \underset{k = 1}{\sum^{\infty}} (\frac{k^{3} + k^{2} + k + 1}{7^{k}}) = ?$

Question Number 80131 Answers: 0 Comments: 2

Question Number 80145 Answers: 1 Comments: 5

{ (((x/a)+(y/b)=a^2 +b^2 )),(( [a,b∈R])),((ab(x^2 −y^2 )=xy(a^2 −b^2 ))) :}

${\begin{cases} \frac{x}{a} + \frac{y}{b} = a^{2} + b^{2} \\ [a, b \in R] \\ ab (x^{2} - y^{2}) = xy (a^{2} - b^{2}) \end{cases}$

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