Home
Class 12
MATHS
If alpha , beta are the roots of ax^...

If ` alpha , beta ` are the roots of ` ax^(2) +bx+c=0, ( a ne 0) and alpha + delta , beta + delta ` are the roots of `Ax^(2) +Bx+C=0,(A ne 0)` for some constant ` delta ` , then prove that `(b^(2)-4ac)/(a^(2))=(B^(2)-4AC)/(A^(2))` .

Promotional Banner

Similar Questions

Explore conceptually related problems

If alpha,beta are the roots of ax^(2)+bx+c=0,(a!=0) and alpha+delta,beta+delta are the roots of Ax^(2)+Bx+C=0,(A!=0) for some constant delta then prove that (b^(2)-4ac)/(a^(2))=(B^(2)-4AC)/(A^(2))

If alpha, beta are the roots of the equation ax^(2) +2bx +c =0 and alpha +h, beta + h are the roots of the equation Ax^(2) +2Bx + C=0 then

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 ax^(2)+bx+c-0 then alpha beta^(2)+alpha^(2)beta+alpha beta=

If alpha,beta are the roots of the equation ax^(2)+bx+c=0 and alpha+delta,beta+delta are the roots of the equation Ax^(2)+Bx+C=0 then prove that (b^(2)-4ac)/(a^(2))=(B^(2)-4AC)/(A^(2)) for some constant value of delta