Monday, October 6, 2014

Which of he following equations has the sum of its roots as 3? (A) x^2 + 3x - 5 = 0 (B) -x^2 + 3x +3 =0

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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