Home
Class 12
MATHS
Consider f(x)=x^2-3x+a+1/a, a in R-{0}, ...

Consider `f(x)=x^2-3x+a+1/a, a in R-{0},` such that `f(3) gt 0 and f(2) le 0.` If `alpha and beta` are the roots of equation `f(x)=0` then the value of `alpha^2+beta^2` is equlal to

Promotional Banner

Similar Questions

Explore conceptually related problems

If alpha and beta is the root of the equation x^2-3x+2=0 then find the value of alpha^2 + beta^2

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 and beta are roots of the equation 2x^(2)-3x-5=0 , then the value of (1)/(alpha)+(1)/(beta) is

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 roots of the equation x^(2)-2x+1=0 , then the value of (alpha)/(beta)+(beta)/(alpha) is

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

Let f(x) be an identity function and alpha, beta be the roots of equation x^(2)-5x+9=0 then the value of f(alpha)+f(beta) is equal to

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