Question

Составьте квадратное уравнение по его корням. -1 ; 3 (). -4 ; 0.

Answer 1

1)-1;3
x^2-x+3=0
2)-4;0
x^2-4x=0

Answer 2

x1 = -1; x2 = 3.
c =x1 * x2 = - 1 * 3 = - 3;
 - b = x1 + x2 = - 1 + 3 = 2;  b = - 2
x^2 + b*x + c = 0;
x^2 - 2 x - 3 = 0.

2) x1 = - 4;
 x2 = 0;
c = x1 * x2 = - 4 * 0 = 0;
- b = x1 + x2 = - 4 + 0 = - 4;  b = 4
  x^2 + b* x + c = 0;
x^2 + 4x = 0