Home
Class 11
MATHS
If one root of the equation ax^(2) +bx+c...

If one root of the equation `ax^(2) +bx+c=0` is the square of the other, then `a(c-b)^(3)=cX`, where X is

A

`a^(3)-b^(3)`

B

`a^(3)+b^(3)`

C

`(a-b)^(3)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If the roots of the equation x^(2) - bx + c = 0 are two consecutive integers, then b^(2) - 4c is

If one of the roots of the equation x ^(2) + bx + 3 =0 is thrice the other, then b is equal to : a) pm3 b) pm2 c) pm1 d) pm4

If one root of the quadratic equation ax^(2)+bx+c= 0 is equal to the nth power of the order, then prove that (ac^(n))^((1)/(n+1)) + (a^(n)c)^((1)/(n+1))=-b

One of the two real roots of the quadratic equation ax^(2)+bx+c=0 is three times the other. Then prove that b^(2)-4ac=(4ac)/(3)

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

If the roots of the equation a(b-c)x^(2) + b(c-a) x+c(a-b)=0 are equal, then prove that a, b, c are in H.P