If alpha, beta are roots of x^(2)-2x-1=0...

If `alpha, beta` are roots of `x^(2)-2x-1=0`, then value of `5alpha^(4)+12beta^(3)` is

A

153

B

169

C

183

D

none of these

Text Solution

Verified by Experts

The correct Answer is:

B

Promotional Banner

Promotional Banner

Topper's Solved these Questions

QUADRATIC EQUATIONS
MCGROW HILL PUBLICATION|Exercise Solved Examples (Level 2 (Straight Objective Type Questions))|21 Videos
QUADRATIC EQUATIONS
MCGROW HILL PUBLICATION|Exercise Solved Examples (Numerical Answer Type Questions)|18 Videos
QUADRATIC EQUATIONS
MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos
PROGRESSIONS
MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos
SETS, RELATIONS AND FUNCTIONS
MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of x^(2)-2x+4=0 then the value of alpha^(6)+beta^(6) is

If alpha and beta are roots of the equation x^(2)+x-3=0 then value of alpha^(3)-4 beta^(2)+24 is

If alpha,beta are the roots of 1+x+x^(2)=0 then the value of alpha^(4)+beta^(4)+alpha^(-4)beta^(-4) =

If alpha,beta are the roots of x^(2)-2x+4=0, then alpha^(5)+beta^(5) is :

If alpha and beta are the roots of 2x^(2) - x - 2 = 0 , then (alpha^(3) + beta^(-3) + 2alpha^(-1) beta^(-1)) is equal to

If alpha,beta are the roots of x^(2)-2x+4=0 then alpha^(5)+beta^(5)=

If alpha, beta, gamma are roots of x^(3)-2x^(2)+7x-1=0 then the value of (alpha+beta-gamma) (beta+gamma-alpha) (alpha+gamma-beta)

If alpha, beta are the roots of equation 3x^(2)-4x+2=0 , then the value of (alpha)/(beta)+(beta)/(alpha) is

If alpha and beta are the roots of 4x^(2) + 3x +7 =0 then the value of 1/alpha + 1/beta is

MCGROW HILL PUBLICATION-QUADRATIC EQUATIONS-Solved Examples (Level 1 ( Single Correct Answer Type Questions)

Suppose a is an integer and x(1) and x(2) are positive real roots of ...
Text Solution
|
If a, b are two real number satisfying the relation 2a^(2) - 3a - 1 =...
Text Solution
|
If alpha, beta are roots of x^(2)-2x-1=0, then value of 5alpha^(4)+12b...
Text Solution
|
Suppose a, b, c are the lengths of three sides of a Delta ABC , a gt b...
Text Solution
|
A root of the equation (a + b)(ax + b)(a - bx) = (a^2x - b^2)(a + bx) ...
Text Solution
|
Q. Let p and q real number such that p!= 0,p^2!=q and p^2!=-q. if alph...
Text Solution
|
Suppose a, b, in R . If the roots of x^(2) - ax + b = 0 are real and d...
Text Solution
|
If a is the minimum root of the equation x^(2) - 3|x|- 2 = 0 , then va...
Text Solution
|
Let f(x) = (x^(2) - 2x + 3)/( x^(2) - 2x - 8) , x in R - {-2, 4} The r...
Text Solution
|
Suppose a, b, care three non-zero real numbers. The equation x^2+(a+b+...
Text Solution
|
Suppose a,b in R. If the equation x^(2)-(2a+b)x+(2a^(2)+b^(2)-b+1//2)=...
Text Solution
|
The equation e^(sinx)-e^(-sinx)-4=0 has (A) infinite number of real ro...
Text Solution
|
If x^(2) - 3x + 2 is a factor of x^(4) - ax^(2) + b then the equatio...
Text Solution
|
Let for a != a1 != 0 , f(x)=ax^2+bx+c ,g(x)=a1x^2+b1x+c1 and p(x) = f(...
Text Solution
|
If a + b + c = 0 and a ne c then the roots of the equation (b + c - a)...
Text Solution
|
if alpha&betaare the roots of the quadratic equation ax^2 + bx + c = 0...
Text Solution
|
If 3p^(2)=5p+2 and 3q^(2)=5q+2 then the equation whose roots 3p-2p an...
Text Solution
|
The number of real roots of (x+3)^4+(x+5)^4=16
Text Solution
|
If a, b, c in R and the quadratic equation x^2 + (a + b) x + c = ...
Text Solution
|
The value of 6+ log(3//2) (1/(3sqrt2)sqrt(4-1/(3sqrt2)sqrt(4-1/(3sq...
Text Solution
|