If 2 is the square of the quadratic equation of one variable x = x plus a root of C, then what is the constant C?

If 2 is the square of the quadratic equation of one variable x = x plus a root of C, then what is the constant C?

Substituting x = 2 into x ^ 2 = x + C yields
4=2+c
The solution is C = 2

In the univariate quadratic equation x2-a (3x-2a + b) - B2 = 0 of X, the constant term is______ ．

Firstly, the equation is reduced to the general form x2-3ax + 2a2-ab-b2 = 0, so the constant term is 2a2-ab-b2

If the two roots of the quadratic equation AX & sup2; + BX + C = 0 about X are 1 / 2, - 1 / 3, find the solution of Cx & sup2; - BX + a = 0

x1+x2=-b/a , x1*x2=c/a
1/2-1/3=-b/a , (1/2)*(-1/3)=c/a
a=-6b , a=-6c , b=c
cx²-bx+a=0
cx²-cx-6c=0 , x²-x-6=0 , (x-3)(x+2)=0 , x1=3 ,x2=-2