Of three independent events, the chance that only the first occurs is a, the chance that only the second occurs is b and the chance of only third is c. if x is a root of the equation `(a + x) (b + x) ( c + x) = x^(2)` , then chance of three events are respectively :

Of three independent events, the chance that only the first occurs is a , the chance that only the second occurs if b , and the chance of only the third is c . Show that the chances of three events are respectively, a/(a+x),b/(b+x),c/(c+x) where x is a root of the equation (a+x)(b+x)(c+x)=x^2

The roots of the equation (b-c) x^2 +(c-a)x+(a-b)=0 are

If A and B are two independent events, then the probability that only one of A and B occur is

both roots of the equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are

If the roots of the equation (x-b)(x-c)+(x-c)(x-a)+(x-a)(x-b)=0 are equal then

The roots of the quadratic equation (a + b-2c)x^2+ (2a-b-c) x + (a-2b + c) = 0 are

6.The roots of the equation (a-b+c)x^(2)+4(a-b)x+(a-b-c)=0 are

A root of the equation (a+c)/(x+a)+(b+c)/(x+b)=(2(a+b+c))/(x+a+b) is

If the roots of the equation (b-c)x^2+(c-a)x+(a-b)=0 are equal then a,b,c will be in

If a lt c lt b then the roots of the equation (a−b)x^2 +2(a+b−2c)x+1=0 are