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AlgebraQuestion and Answers: Page 235

Question Number 111365 Answers: 0 Comments: 0

Question Number 111344 Answers: 0 Comments: 3

(√3)!=?

$\sqrt{3}! = ?$

Question Number 111343 Answers: 0 Comments: 1

i!=?

$i! = ?$

Question Number 111208 Answers: 1 Comments: 3

let p a prime number s.t p≥7 and a=333......3_(p−1 times) Show that 11∣a.

$let p a prime number s . t p ⩾ 7 and$ $a = \underset{p - 1 t i m e s}{333 . . . . . . 3}$ $Show that 11 ∣ a .$

Question Number 111175 Answers: 1 Comments: 0

Question Number 111134 Answers: 0 Comments: 0

Question Number 111062 Answers: 0 Comments: 2

Question Number 111029 Answers: 1 Comments: 0

Question Number 111008 Answers: 0 Comments: 3

((√(x+1))/(y+2)) + ((√(y+2))/(x+1)) =1 => x=?

$\frac{\sqrt{x + 1}}{y + 2} + \frac{\sqrt{y + 2}}{x + 1} = 1 => x = ?$

Question Number 110897 Answers: 3 Comments: 0

(1)4x−4 ≤ ∣x^2 −3x+2 ∣ find the solution set (2) ((1+cos ((α/2))−sin ((α/2)))/(1−cos ((α/2))−sin ((α/2))))=?

$(1) 4 x - 4 ⩽ ∣ x^{2} - 3 x + 2 ∣$ $find the solution set$ $(2) \frac{1 + \cos (\frac{α}{2}) - \sin (\frac{α}{2})}{1 - \cos (\frac{α}{2}) - \sin (\frac{α}{2})} = ?$

Question Number 110879 Answers: 0 Comments: 1

Question Number 110843 Answers: 2 Comments: 0

(x+1)^((x+1)) =(√2) find all values of x (Please step by step)

${(x + 1)}^{(x + 1)} = \sqrt{2} f i n d a l l v a l u e s o f x$ $(P l e a s e s t e p b y s t e p)$

Question Number 110837 Answers: 0 Comments: 0

Question Number 110799 Answers: 0 Comments: 0

What is the he minimum value of (√(x^2 +1))+(√((y−x)^2 +25))+(√((z−y)^2 +4))+(√((9−z)^2 +16)) if (x, y and z) ∈ R

$W h a t i s t h e h e m i n i m u m v a l u e o f$ $\sqrt{x^{2} + 1} + \sqrt{{(y - x)}^{2} + 25} + \sqrt{{(z - y)}^{2} + 4} + \sqrt{{(9 - z)}^{2} + 16}$ $i f (x, y a n d z) \in R$

Question Number 110845 Answers: 1 Comments: 0

(x^2 +3x−10)^(x^3 −9x) = (x^2 +3x−10)^(3x^2 −8x)

${(x^{2} + 3 x - 10)}^{x^{3} - 9 x} = {(x^{2} + 3 x - 10)}^{{3 x}^{2} - 8 x}$

Question Number 110728 Answers: 1 Comments: 0

a+b=9 , ab=20 a−b=?

$a + b = 9, a b = 20 a - b = ?$

Question Number 110727 Answers: 1 Comments: 0

a^2 +b^2 =10 , ab=13 , a^3 +b^3 =?

$a^{2} + b^{2} = 10, a b = 13, a^{3} + b^{3} = ?$

Question Number 110706 Answers: 0 Comments: 0

Question Number 110675 Answers: 2 Comments: 0

Two polynomials P and Q satisfy P(−2x+Q(x))=Q(−2x+P(x)). Given that Q(x)=x^2 −4 and P(x)=ax+b. Find 2a+b.

$Two polynomials P and Q satisfy$ $P (- 2 x + Q (x)) = Q (- 2 x + P (x)) .$ $Given that Q (x) = x^{2} - 4 and$ $P (x) = ax + b . Find 2 a + b .$

Question Number 110620 Answers: 1 Comments: 0

Question Number 110608 Answers: 0 Comments: 1

(√x) +1=0 Solution (√(x )) = −1 recalled that ϱ^(iΠ) = −1 (√x) =ϱ^(iΠ) x=(ϱ^(iΠ) )^2 ⇒ x=ϱ^(2iΠ) or x= 2cosΠ+isinΠ x has no real value!

$\sqrt{x} + 1 = 0$ $S o l u t i o n$ $\sqrt{x} = - 1$ $r e c a l l e d t h a t ϱ^{i Π} = - 1$ $\sqrt{x} = ϱ^{i Π}$ $x = {(ϱ^{i Π})}^{2}$ $\Rightarrow x = ϱ^{2 i Π}$ $o r x = 2 c o s Π + i s i n Π$ $x h a s n o r e a l v a l u e!$

Question Number 110704 Answers: 3 Comments: 0

Find the minimum value of ((n^2 +1)/n)+(n/(n^2 +1)),n>0

$Find the minimum value of$ $\frac{n^{2} + 1}{n} + \frac{n}{n^{2} + 1}, n > 0$

Question Number 110596 Answers: 1 Comments: 2

Three real numbers a,b,c satisfying ab+c=10,bc+a=11,ca+b=14. Find (a−b)(b−c)(c−a)(a−1)(b−1)(c−1)

$Three real numbers a, b, c satisfying$ $ab + c = 10, bc + a = 11, ca + b = 14 . Find$ $(a - b) (b - c) (c - a) (a - 1) (b - 1) (c - 1)$

Question Number 110594 Answers: 1 Comments: 0

A polynomial satisfies f(x^2 −2)=f(x)f(−x). Assuming that f(x)≠0 for −2≤x≤2, what is the value of f(−2)+f(1)?

$A polynomial satisfies$ $f (x^{2} - 2) = f (x) f (- x) . Assuming that$ $f (x) \neq 0 for - 2 ⩽ x ⩽ 2, what is the value$ $of f (- 2) + f (1) ?$

Question Number 110593 Answers: 1 Comments: 0

Find the maximum possible integer n such that (((n−1)(n^2 +n−3))/(n^2 +4)) is also an integer

$Find the maximum possible integer n$ $such that \frac{(n - 1) (n^{2} + n - 3)}{n^{2} + 4} is also an$ $integer$

Question Number 110592 Answers: 3 Comments: 0

How many pairs of integers x and y satisfy the equation (1/x)+(1/y)=(1/(32))

$How many pairs of integers x and y$ $satisfy the equation \frac{1}{x} + \frac{1}{y} = \frac{1}{32}$

Pg 230 Pg 231 Pg 232 Pg 233 Pg 234 Pg 235 Pg 236 Pg 237 Pg 238 Pg 239

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