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AlgebraQuestion and Answers: Page 299

Question Number 61211 Answers: 1 Comments: 3

Solve for x in terms of a (√(a−(√(a+x )))) + (√(a+(√(a−x)))) = 2x Please sir i request you to solve this question =_=

$S o l v e f o r x i n t e r m s o f a$ $\sqrt{a - \sqrt{a + x}} + \sqrt{a + \sqrt{a - x}} = 2 x$ $P l e a s e s i r i r e q u e s t y o u t o s o l v e t h i s$ $q u e s t i o n =_=$

Question Number 61162 Answers: 1 Comments: 3

if sin(x) = ((x − 20)/(20)) , find x

$if \sin (x) = \frac{x - 20}{20}, find x$

Question Number 61140 Answers: 1 Comments: 1

can we find an exact solution? t^6 +4t^4 −12t^3 +24t^2 −24t+8=0

$can we find an exact solution ?$ $t^{6} + 4 t^{4} - 12 t^{3} + 24 t^{2} - 24 t + 8 = 0$

Question Number 61137 Answers: 1 Comments: 0

What is the sum of first 3n term of an AP , if the sunm of first n term is 2n and sum of first 2n term is 5n

$What is the sum of first 3 n term of an AP, if the sunm of first n term is$ $2 n and sum of first 2 n term is 5 n$

Question Number 61117 Answers: 2 Comments: 0

The 2nd, 4th and 8th term of an AP are the consecutive term of a GP. If the sum of the 3rd and 4th term of the AP is 20. Find the sum of the first four terms of the AP.

$The 2 nd, 4 th and 8 th term of an AP are the consecutive term of a GP .$ $If the sum of the 3 rd and 4 th term of the AP is 20 . Find the sum of the$ $first four terms of the AP .$

Question Number 61111 Answers: 1 Comments: 2

Please what does the 2 on the C mean. C_1 ^2 + 2 C_2 ^2 + 3 C_3 ^2 + ... + n C_n ^2 = (((2n − 1)!)/([(n − 1)!]^2 )) Does the 2 on C mean square ?? I mean: (C_1 )^2 + 2(C_2 )^2 + 3(C_3 )^2 + ... + n (C_n )^2 which is also ( ^n C_1 )^2 + 2( ^n C_2 )^2 + 3( ^n C_3 )^2 + ... + n ( ^n C_n )^2 I just want to know what the 2 on C represent . Thanks. C_1 ^2 + 2 C_2 ^2 + 3 C_3 ^2 + ... + n C_n ^2 = (((2n − 1)!)/([(n − 1)!]^2 ))

$Please what does the 2 on the C mean .$ $C_{1}^{2} + 2 C_{2}^{2} + 3 C_{3}^{2} + . . . + n C_{n}^{2} = \frac{(2 n - 1)!}{{[(n - 1)!]}^{2}}$ $Does the 2 on C mean square ? ?$ $I mean : {(C_{1})}^{2} + 2 {(C_{2})}^{2} + 3 {(C_{3})}^{2} + . . . + n {(C_{n})}^{2}$ $which is also$ ${(\overset{n}{} C_{1})}^{2} + 2 {(\overset{n}{} C_{2})}^{2} + 3 {(\overset{n}{} C_{3})}^{2} + . . . + n {(\overset{n}{} C_{n})}^{2}$ $I just want to know what the 2 on C represent . Thanks .$ $C_{1}^{2} + 2 C_{2}^{2} + 3 C_{3}^{2} + . . . + n C_{n}^{2} = \frac{(2 n - 1)!}{{[(n - 1)!]}^{2}}$

Question Number 60980 Answers: 1 Comments: 2

Solve for x, y, z x(y + z) = 33 ..... (i) y(z + x) = 35 ..... (ii) z(x + y) = 14 ..... (iii)

$Solve for x, y, z$ $x (y + z) = 33 . . . . . (i)$ $y (z + x) = 35 . . . . . (ii)$ $z (x + y) = 14 . . . . . (iii)$

Question Number 60946 Answers: 3 Comments: 4

Find x: x^x = 2x

$Find x : x^{x} = 2 x$

Question Number 60905 Answers: 3 Comments: 0

if x+(1/x)=(√3).find x^(24) +x^(18) +x^6 +1

$i f x + \frac{1}{x} = \sqrt{3} . f i n d$ $x^{24} + x^{18} + x^{6} + 1$

Question Number 60910 Answers: 1 Comments: 7

Question Number 60854 Answers: 2 Comments: 4

(x^4 −3x^2 +2x+1)/(x−1)

$(x^{4} - 3 x^{2} + 2 x + 1) / (x - 1)$

Question Number 60817 Answers: 4 Comments: 2

V=(4/3)𝛑R^3 prove

$V = \frac{4}{3} π R^{3} prove$

Question Number 60816 Answers: 1 Comments: 0

S=4𝛑R^2 prove

$S = 4 π R^{2} prove$

Question Number 60745 Answers: 4 Comments: 5

Question Number 60734 Answers: 1 Comments: 4

Find the product of the real roots of the equation (x + 2 + (√(x^2 + 4x + 3)))^5 − 32(x + 2 − (√(x^2 + 4x + 3)))^5 = 31

$Find the product of the real roots of the equation$ ${(x + 2 + \sqrt{x^{2} + 4 x + 3})}^{5} - 32 {(x + 2 - \sqrt{x^{2} + 4 x + 3})}^{5} = 31$

Question Number 60723 Answers: 0 Comments: 8

solve for x (√(a−(√(a+x)))) + (√(a+(√(a−x)))) = 2x

$s o l v e f o r x$ $\sqrt{a - \sqrt{a + x}} + \sqrt{a + \sqrt{a - x}} = 2 x$

Question Number 60705 Answers: 1 Comments: 0

Question Number 60533 Answers: 1 Comments: 2

If A, B, C are angle of a triangle. Show that cos (1/2)C + cos (1/2)(A − B) = 2 sin (1/2)A sin (1/2)B

$If A, B, C are angle of a triangle . Show that$ $\cos \frac{1}{2} C + \cos \frac{1}{2} (A - B) = 2 \sin \frac{1}{2} A \sin \frac{1}{2} B$

Question Number 60501 Answers: 1 Comments: 1

let A = ((( 1 1)),((1 1)) ) 1)calculate A^n 2) determine e^A and e^(−A) .

$l e t A = (\begin{matrix} 1 1 \\ 1 1 \end{matrix})$ $1) c a l c u l a t e A^{n}$ $2) d e t e r m i n e e^{A} a n d e^{- A} .$

Question Number 60500 Answers: 0 Comments: 2

let A = (((1 1)),((−2 3)) ) 1) find A^(−1) 2) calculate A^n 3) determine e^A and e^(−2A) .

$l e t A = (\begin{matrix} 1 1 \\ - 2 3 \end{matrix})$ $1) f i n d A^{- 1}$ $2) c a l c u l a t e A^{n}$ $3) d e t e r m i n e e^{A} a n d e^{- 2 A} .$

Question Number 60475 Answers: 1 Comments: 0

Question Number 60453 Answers: 0 Comments: 0

Question Number 60445 Answers: 2 Comments: 1

Question Number 60416 Answers: 0 Comments: 0

Sum the series: ^n C_0 ^n C_1 + ^n C_1 ^n C_2 + ^n C_2 ^n C_3 + ... + ^n C_r ^n C_(r + 1)

$Sum the series : \overset{n}{} C_{0} \overset{n}{} C_{1} + \overset{n}{} C_{1} \overset{n}{} C_{2} + \overset{n}{} C_{2} \overset{n}{} C_{3} + . . . + \overset{n}{} C_{r} \overset{n}{} C_{r + 1}$

Question Number 60406 Answers: 1 Comments: 0

n ∈ Z^+ , Find the coefficient of x^(−1) in the expansion of (1 + x)^n (1 + (1/x))^n

$n \in Z^{+}, Find the coefficient of x^{- 1} in the expansion of {(1 + x)}^{n} {(1 + \frac{1}{x})}^{n}$

Question Number 60330 Answers: 0 Comments: 1

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