Get a free home demo of LearnNext

Available for CBSE, ICSE and State Board syllabus.
Call our LearnNext Expert on 1800 419 1234 (tollfree)
OR submit details below for a call back

clear
searchtune
What people are asking?

Neha Vilasi

Aug 19, 2013

If x +1 =3 , then find the value of x6+1.

        x                                                 x6

This answer has an image. Please click on the question to read more.

Answer (5)

Raj kishore patro

Jul 10, 2013

x3 +1/x= 110,then x+1/x = 

This answer has an image. Please click on the question to read more.

Answer (4)

Mohammed furqaan Hussain

Aug 23, 2013

If a2+b2+c2-ab-bc-ca=0,prove that  a=b=c

This answer has an image. Please click on the question to read more.

Answer (3)

Meghna deshnur

Aug 5, 2013

Sir,

I have a doubt regarding this question, kindly tell me whether the answer for the question given below is correct?

Q) x3 - 3x2 - 9x - 5

Ans) p(x) = x3 - 3x2 - 9x - 5

Factors of 5 = 1,5,-1,-5

p(1) = 13 - 3 x (1)2  - 9 x (1) - 5

       = 1 -3 - 9 - 5 

       = 1 - 17 = - 16 ≠ 0

p(-1) = (-1)3 x 3 x (-1)2 - 9 x (-1) -5

        = -1 - 3 + 9 - 5 = -9 + 9 = 0

p(-1) =0

∴ (x+1) is a factor of p(x)

    p(x) ÷ (x+1)

    x3 - 3x2 - 9x - 5 ÷ x + 1

    = x2 - 4x - 5

x2 - 4x - 5

x2 - 5x + 1x - 5 

= x ( x - 5) + 1 ( x - 5)

= ( x - 5) ( x + 1)

 

Yes, correct
But finally  x3 - 3x2 - 9x - 5 = ( x + 1)( x + 1)( x - 5)

Answer (3)

Sunitha

Aug 19, 2013

Factorise: x4 +x2 +1

This answer has an image. Please click on the question to read more.

Answer (2)

Meghna deshnur

Jul 26, 2013

If x + y + z = 8 and xy + yz + zx = 20 find the value of x3 + y3 + z3 - 3xyz.

Answer.

Given x + y + z = 8 and xy + yz + zx = 20
Consider, x + y + z = 8
Squaring on both sides, we get
(x + y + z)2 = 82
x2 + y2 + z2 +2(xy + yz +zx) = 64
...

Answer (3)

Smritishraddha suresh

Aug 27, 2013

if x4+1/x4 =119  then find x3-1/x3

This answer has an image. Please click on the question to read more.

Answer (4)

Neha Vilasi

Aug 31, 2013

If a+b+c=0, then find the value of a2/bc+b2/ca+c2/ab and this time please explain it properly because last time I could not understand.

This answer has an image. Please click on the question to read more.

Answer (3)

Anshu

Oct 7, 2013

if 4x - 4x - 1 = 24 then (2x)x equals what ?

This answer has an image. Please click on the question to read more.

Answer (4)

Aakash Prakash

Sep 13, 2013

Prove that (a+b+c)3-a3-b3-c3 = 3(a+b)(b+c)(c+a)


This answer has an image. Please click on the question to read more.

Answer (2)

Neha Vilasi

Aug 19, 2013

If x +1 =3 , then find the value of x6+1.

        x                                                 x6

This answer has an image. Please click on the question to read more.

Answer (5)

Raj kishore patro

Jul 10, 2013

x3 +1/x= 110,then x+1/x = 

This answer has an image. Please click on the question to read more.

Answer (4)

Mohammed furqaan Hussain

Aug 23, 2013

If a2+b2+c2-ab-bc-ca=0,prove that  a=b=c

This answer has an image. Please click on the question to read more.

Answer (3)

Meghna deshnur

Aug 5, 2013

Sir,

I have a doubt regarding this question, kindly tell me whether the answer for the question given below is correct?

Q) x3 - 3x2 - 9x - 5

Ans) p(x) = x3 - 3x2 - 9x - 5

Factors of 5 = 1,5,-1,-5

p(1) = 13 - 3 x (1)2  - 9 x (1) - 5

       = 1 -3 - 9 - 5 

       = 1 - 17 = - 16 ≠ 0

p(-1) = (-1)3 x 3 x (-1)2 - 9 x (-1) -5

        = -1 - 3 + 9 - 5 = -9 + 9 = 0

p(-1) =0

∴ (x+1) is a factor of p(x)

    p(x) ÷ (x+1)

    x3 - 3x2 - 9x - 5 ÷ x + 1

    = x2 - 4x - 5

x2 - 4x - 5

x2 - 5x + 1x - 5 

= x ( x - 5) + 1 ( x - 5)

= ( x - 5) ( x + 1)

 

Yes, correct
But finally  x3 - 3x2 - 9x - 5 = ( x + 1)( x + 1)( x - 5)

Answer (3)

Sunitha

Aug 19, 2013

Factorise: x4 +x2 +1

This answer has an image. Please click on the question to read more.

Answer (2)

Meghna deshnur

Jul 26, 2013

If x + y + z = 8 and xy + yz + zx = 20 find the value of x3 + y3 + z3 - 3xyz.

Answer.

Given x + y + z = 8 and xy + yz + zx = 20
Consider, x + y + z = 8
Squaring on both sides, we get
(x + y + z)2 = 82
x2 + y2 + z2 +2(xy + yz +zx) = 64
...

Answer (3)

Smritishraddha suresh

Aug 27, 2013

if x4+1/x4 =119  then find x3-1/x3

This answer has an image. Please click on the question to read more.

Answer (4)

Neha Vilasi

Aug 31, 2013

If a+b+c=0, then find the value of a2/bc+b2/ca+c2/ab and this time please explain it properly because last time I could not understand.

This answer has an image. Please click on the question to read more.

Answer (3)

Anshu

Oct 7, 2013

if 4x - 4x - 1 = 24 then (2x)x equals what ?

This answer has an image. Please click on the question to read more.

Answer (4)

Aakash Prakash

Sep 13, 2013

Prove that (a+b+c)3-a3-b3-c3 = 3(a+b)(b+c)(c+a)


This answer has an image. Please click on the question to read more.

Answer (2)

Filters