If `x=1a n dx=2` are solutions of equations `x^3+a x^2+b x+c=0a n da+b=1,` then find the value of `bdot`

If x=1 and x=2 are solutions of the equation x^(3)+ax^(2)+bx+c=0 and a+b=1, then the value of b, is

If x=1 and x=2 are solutions of the equation x^(3)+ax^(2)+bx+c=0 and a+b=1, then the value of b, is

If x=2alpha+1\ a n d\ y=alpha-1 is a solution of the equation 2x-3y+5=0 , find the value of alpha

If x=1\ a n d\ y=6 is a solution of the equation 8x-a y+a^2=0 , find the value of a

x=2/3 and x = − 3 are the roots of the equation ax^2 + 7 x + b = 0 , find the values of a a n d b .

If a, b and c satisfy the equation x^(3)-3x^(2) + 2x+1 =0 then what is the value of (1)/(a)+(1)/(b)+(1)/(c ) ?

If A={x: x in N and x^(2)+x-2=0} and B={1} then find B-A.

If x_(1),x_(2) are real solutions to the equation x^(2)+a^(2)x+b=0 while x_(3),x_(4) are real solutions to x^(2)+5ax+7=0 such that x_(1)-x_(3)=x_(2)-x_(4)=2 then find the values of a and b

The solution of the equation |x-1|+2|x+1|+|x-2|<=8 is x in[a,b], then the value of |b-a|+(1)/(|b+a|) is :

The minimum value of [x_(1)-x_(2))^(2)+(12-sqrt(1-(x_(1))^(2))-sqrt(4x_(2))]^((1)/(2)) for all permissible values of x_(1) and x_(2) is equal to a sqrt(b)-c where a,b,c in N, the find the value of a +b-c