Let `alphaa n dbeta` be the solutions of the quadratic equation `x ^2-1154 x+1=0` , then the value of `alpha^(1/4)+beta^(1/4)` is equal to ______.

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

If alpha" and "beta are the solutions of the quadratic equation ax^(2)+bx+c=0 such that beta= alpha^(1/3) , then

If alpha and beta are the roots of quadratic equation 2x^(2)+4x+3=0 , then the value of alpha+beta= A)-2 B)2 C)34 D)-4

If alpha and beta are the roots of quadratic equation x^(2)+5x-1=0 then, find (i) alpha^(3)+beta^(3) (ii) alpha^(2)+beta^(2)

For a , b , c in R-{0} , let (a+b)/(1-ab) , b , (b+c)/(1-bc) are in A.P. If alpha , beta are the roots of the quadratic equation 2acx^(2)+2abcx+(a+c)=0 , then the value of (1+alpha)(1+beta) is

If alpha and beta be the roots of equation x^(2) + 3x + 1 = 0 then the value of ((alpha)/(1 + beta))^(2) + ((beta)/(1 + alpha))^(2) is equal to

If alpha and beta are the roots of the equation x^2 + 2x +8=0 then the value of (alpha)/(beta) + (beta)/(alpha) is ………………….. .

If alphaa n dbeta are the roots of this equation x^2-a(x-1)+b=0 then find the value of 1//(alpha^2-aalpha)+1//(beta^2-abeta)+2//a+bdot

If alpha and beta are roots of the equation x^(2)-2x+2=0, then the least value of n for which ((alpha)/beta)^(n)=1 is