Home
Class 12
MATHS
If one root of the quadratic equation ...

If one root of the quadratic equation `ax^(2) + bx + c = 0 ` is equal to the `n^(th)` power of the other root , then show that `(ac^(n))^(1/(n+1)) + (a^(n)c)^(1/(n+1))+b = 0 `

Promotional Banner

Similar Questions

Explore conceptually related problems

If one root of the equation ax^2 + bx + c = 0 is equal to the n^(th) power of the other, then (ac^n)^(1/(n+1)) + (a^nc)^(1/(n+1)) + b is equal to

If the ratio of the roots of the equation ax^(2)+bx+c=0 is m: n then

If the roots of the equation ax^(2)+bx+c=0 are in the ratio m:n then

If one root is the n^("th") power of the other root of the equation x^(2) -ax + b = 0 then b^((n)/(n+1))+b^((1)/(n+1)) =

Find the condition that one root of the quadratic equation ax^(2)+bx+c=0 shall be n times the other, where n is positive integer.

If the ratio of the roots of the equation ax^2+bx+c=0 is equal to ratio of roots of the equation x^2+x+1=0 then a,b,c are in

If the quadratic equation ax^2+bx+c=0 has -2 as one of its roots then ax + by + c = 0 represents

if alpha&beta are the roots of the quadratic equation ax^2 + bx + c = 0 , then the quadratic equation ax^2-bx(x-1)+c(x-1)^2 =0 has roots

In quadratic equation ax^(2)+bx+c=0 , if discriminant D=b^(2)-4ac , then roots of quadratic equation are:

If the equations ax^2 + bx + c = 0 and x^2 + x + 1= 0 has one common root then a : b : c is equal to