We know that if ax^2 + bx + c = 0 is a quadratic equation,
x1 and x2 are the roots, Then:
1. x1 + x1 =
-b/a
2. x1*x2= c/a
Let us use
the rule to determine the roots for both equations.
For the
equation x^2 + 3x -5 = 0
==> x1+ x2 = -b/a = -3/1 =
-3
For the equation -x^2 + 3x+3 =
0
==> x1+x2 = -b/a = -3/-1 =
3
Then the equation with the sum of its roots
= 3 is (-x^2 +3x +3 = 0)
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