if `alpha` and `beta` are the roots of the equatio0n `x^2+px+q=0`and does not have real roots then `(alpha-beta)^2` =

If tan alpha and tan beta are the roots of the equation x^(2) +px + q = 0 , then the value of sin^(2) (alpha +beta) + p cos (alpha + beta) sin (alpha + beta) + q cos^(2) (alpha + beta) is

If alpha and beta are the roots of the equation x^2-px + q = 0 then the value of (alpha+beta)x -((alpha^2+beta^2)/2)x^2+((alpha^3+beta^3)/3)x^3+... is

If alpha and beta are the roots of the equation x^2-px + q = 0 then the value of (alpha+beta)x -((alpha^2+beta^2)/2)x^2+((alpha^3+beta^3)/3)x^3+... is

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

If alpha , beta be the roots of the equation x^2-px+q=0 ,form the quadratic equation whose roots are 2alpha-beta , 2beta-alpha

If alpha and beta are the roots of the equation x^(2) + px + q =0, then what is alpha ^(2) + beta ^(2) equal to ?

If tan alpha, tan beta are the roots of the equation x^(2)+px+q=0 then sin^(2) (alpha+ beta)+ p sin(alpha+ beta) (cos+beta) +q cos^(2)(alpha+ beta)=