solve x^3-7x^2+14x-8=0 given that the ro...

solve `x^3-7x^2+14x-8=0` given that the roots are in geometric progression.

Topper's Solved these Questions

THEORY OF EQUATIONS
AAKASH SERIES|Exercise EXAMPLES|5 Videos
THEORY OF EQUATIONS
AAKASH SERIES|Exercise EXERCISE -2.1 (VERY SHORT ANSWER QUESTIONS)|18 Videos
SYSTEM OF CIRCLES
AAKASH SERIES|Exercise EXERCISE 2.2|22 Videos
TRANSFORMATIONS AND INDENTITIES
AAKASH SERIES|Exercise PRACTIVE EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

solve x^3 -9x^2 + 14x+ 24 =0 given that two of the roots are in the ratio 3:2

Solve x^3-9x^2+14x +24-0 , given that two of the roots are in the ratio 3:2 .

Solve 4x^3-24x^2+23x+18=0 ,givne that the roots of this equation are in arithmetic progression

Solve 9x^3-15x^2+7x-1=0 , given that two of its roots are equal .

If the roots of the equation x^(3) - 7x^(2) + 14x - 8 = 0 are in geometric progression, then the difference between the largest and the smallest roots is

solve x^3-7x^2+36=0 given one root being twice the other .

Solve x^3-3x^2-16x+48=0 , given that tha sum of two roots is zero .

Solve x^3 -7x^2 + 36 =0 given one root being twice the other .

AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE-III

solve x^3-7x^2+14x-8=0 given that the roots are in geometric progressi...
Text Solution
|
The quotient obtained when 3x^4 -x^3 +2x^2 -2x -4 is divided by ...
Text Solution
|
The value of k so that x^4 -4x^3 +5x^2 -2x +k is divisible by ...
Text Solution
|
The equation whose roots are 1,2 +- 3i is
Text Solution
|
The polynomial equation of the lowest degree having roots 1 , ...
Text Solution
|
The equation of lowest degree with rational coefficient having ...
Text Solution
|
If one root of x^3 -6x^2 +3x +10 =0 is 2 then the remaining t...
Text Solution
|
If one root of 10 x^3 -x^2 - 278 x + 165=0 is 5 then product ...
Text Solution
|
If the product of two of the roots of x^3 +kx ^2 -3x+4=0 is -1 ...
Text Solution
|
The condition for one root of x^3+ax^2+bx+c=0 is sum of the ot...
Text Solution
|
If one of the roots of 18x^3 + 81x^2 + 121 x+60=0 is equal to ...
Text Solution
|
If the roots of the equation x^3 -9x^2 + 23x-15=0 are in A.P t...
Text Solution
|
If the roots of 24x^3 - 26 x^2 + 9x -1=0 are in H.P then the ...
Text Solution
|
If alpha , beta , gamma are the roots of x^3 -3ax^2 +3 bx -c=0...
Text Solution
|
If the root of kx^3 - 18x^2 - 36 x+8=0 are in H.P then k=
Text Solution
|
If the roots of x^3 -14x^2 + 56x-64 =0 are in G.P then the mid...
Text Solution
|
If x^4 - 12x ^3 +52 x^2 - 96 x+64=0 have pairs of equal roots t...
Text Solution
|
If the roots of x^4 -2x^3 - 21x^2 + 22 x + 40 =0 are in A.P then...
Text Solution
|
If the roots of 27x^(4) - 195x^(3) + 494x^(2) - 520x + 192 = 0 are in...
Text Solution
|
The roots of x^3 - 13x^2 +39 x-27=0 are in
Text Solution
|
If x^3 -3x^2 + 4=0 has a multiple root then that multiple root i...
Text Solution
|