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AlgebraQuestion and Answers: Page 246

Question Number 103914 Answers: 2 Comments: 2

(2+(√3))^x^2 + (2−(√3))^x^2 = 4

${(2 + \sqrt{3})}^{x^{2}} + {(2 - \sqrt{3})}^{x^{2}} = 4$

Question Number 103888 Answers: 2 Comments: 0

find all such numbers: if we make its last digit, say k, as its first digit, the number becomes k times large as before. (□□...□k)→(k□□...□)=k×(□□...□k)

$f i n d a l l s u c h n u m b e r s :$ $i f w e m a k e i t s l a s t d i g i t, s a y k, a s i t s$ $f i r s t d i g i t, t h e n u m b e r b e c o m e s k$ $t i m e s l a r g e a s b e f o r e .$ $(◻ ◻ . . . ◻ k) \to (k ◻ ◻ . . . ◻) = k \times (◻ ◻ . . . ◻ k)$

Question Number 103804 Answers: 0 Comments: 0

Solve for r ((h−p^2 )/(p−r))=(1/(2p)) , ((h−q)/(q^2 −r))= 2q (h−p^2 )^2 +(p−r)^2 =r^2 (h−q)^2 +(q^2 −r)^2 =r^2

$S o l v e f o r r$ $\frac{h - p^{2}}{p - r} = \frac{1}{2 p}, \frac{h - q}{q^{2} - r} = 2 q$ ${(h - p^{2})}^{2} + {(p - r)}^{2} = r^{2}$ ${(h - q)}^{2} + {(q^{2} - r)}^{2} = r^{2}$

Question Number 103736 Answers: 0 Comments: 0

Solve: a^2 + c^2 = 196 ... (i) b^2 + (c − a)^2 = 169 ... (ii) c^2 + (b − c)^2 = 225 ... (iii)

$Solve : a^{2} + c^{2} = 196 . . . (i)$ $b^{2} + {(c - a)}^{2} = 169 . . . (ii)$ $c^{2} + {(b - c)}^{2} = 225 . . . (iii)$

Question Number 103685 Answers: 1 Comments: 0

Question Number 103647 Answers: 0 Comments: 0

Question Number 103603 Answers: 0 Comments: 1

Question Number 103436 Answers: 2 Comments: 0

Π_(n = 3) ^∞ (1−(4/n^2 )) = ?

$\underset{n = 3}{\prod^{\infty}} (1 - \frac{4}{n^{2}}) = ?$

Question Number 103346 Answers: 0 Comments: 1

Question Number 103345 Answers: 4 Comments: 5

Question Number 103310 Answers: 1 Comments: 1

Question Number 103286 Answers: 3 Comments: 1

((1/9))^(1/3) −((2/9))^(1/3) + ((4/9))^(1/3) = ?

$\sqrt[3]{\frac{1}{9}} - \sqrt[3]{\frac{2}{9}} + \sqrt[3]{\frac{4}{9}} = ?$

Question Number 103278 Answers: 0 Comments: 2

Σ_(k=0) ^∞ (1/(k!(k^4 +k^2 +1)))=?

$\underset{k = 0}{\sum^{\infty}} \frac{1}{k! (k^{4} + k^{2} + 1)} = ?$

Question Number 103260 Answers: 1 Comments: 0

Question Number 103254 Answers: 0 Comments: 2

2^(3x) −f(x+4)=k∙f(x) ; k=????

$2^{3 x} - f (x + 4) = k \cdot f (x); k = ? ? ? ?$

Question Number 103253 Answers: 3 Comments: 0

(i)^(1/i) =?????

$\sqrt[i]{i} = ? ? ? ? ?$

Question Number 103170 Answers: 0 Comments: 3

x^x^x =3 x=?

$x^{x^{x}} = 3 x = ?$

Question Number 103151 Answers: 0 Comments: 1

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Question Number 103120 Answers: 0 Comments: 0

Question Number 103094 Answers: 0 Comments: 4

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Question Number 103093 Answers: 5 Comments: 0

solve for x,y∈N (1/x)+(1/y)=(3/(202))

$s o l v e f o r x, y \in N$ $\frac{1}{x} + \frac{1}{y} = \frac{3}{202}$

Question Number 102975 Answers: 0 Comments: 1

A student can recall 6 digits of a 9 digit number. In how many ways can he get the complete number?

$A student can recall 6 digits of a 9 digit number .$ $In how many ways can he get the complete number ?$

Question Number 102967 Answers: 1 Comments: 0

Question Number 102940 Answers: 0 Comments: 1

Question Number 102927 Answers: 3 Comments: 1

If (x/(x^2 + x + 1)) = (1/4) Find x + (1/x)

$If \frac{x}{x^{2} + x + 1} = \frac{1}{4}$ $Find x + \frac{1}{x}$

Question Number 102548 Answers: 0 Comments: 0

if n is a real number,find the least possible number of n,if n^2 −3n+(√(n−3)) −(√(n+3))

$i f n i s a r e a l n u m b e r, f i n d t h e l e a s t p o s s i b l e n u m b e r o f n, i f$ $n^{2} - 3 n + \sqrt{n - 3} - \sqrt{n + 3}$

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