Let `f(x)=ax^(2) + bx + c=0` be a quadratic equation and `alpha` , `beta` are its roots then `f(x-k)=0` is an equation whose roots are

" Let "f(x)=ax^(2)+bx+c=0" be a quadratic equation and "alpha,beta" are its roots then "f(-x)=0" is an equation whose roots "

Let f(x)=ax^(2)+bx+c=0 be a quadratic equation and alpha,beta are its roots if c!=0 then alpha,beta!=0 and f(1/x) =0 is an equation whose , roots are

Let f(x)=ax^(2)+bx+c=0 be a quadratic equation and alpha,beta are its roots if c!=0 then alpha beta!=0 and f((1)/(x))=0 is an equation whose roots are

If alpha,beta are the roots of ax^(2)+bx+c=0, the equation whose roots are 2+alpha,2+beta is

If alpha,beta are the roots of the quadratic equation x^(2)+bx-c=0, the equation whose roots are b and c, is

Let f(x)=ax^(2)+bx+c.g(x)=ax^(2)+qx+r where a,b,c,q,r in R and a<0. if alpha,beta are the roots of f(x)=0 and alpha+delta,beta+delta are the roots of g(x)=0, then

The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by "2 " is "x^(2) = 36x + 24 =0 If the roots of a quadratic equation ax^(2)+ bx+ c=0 " are "alpha and beta, then the quadratic equation having roots alpha and beta is