SOLUTION: Determinar una raíz de la siguiente ecuación de variable “x”: x2 + (3a - 2b)x

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Question 1184237: Determinar una raíz de la siguiente ecuación
de variable “x”: x2 + (3a - 2b)x - 6ab = 0
Found 3 solutions by ikleyn, MathLover1, MathTherapy:
Answer by ikleyn(52787)   (Show Source):
You can put this solution on YOUR website!
.
Determine roots of the following equation
x2 + (3a - 2b)x - 6ab = 0
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Your starting equation is x^2 + (3a - 2b)x - 6ab = 0 Make factoring (x + 3a)*(x - 2b) = 0. The roots (the solutions) are x = -3a; x = 2b. ANSWER

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Answer by MathLover1(20850)   (Show Source):
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Answer by MathTherapy(10552)   (Show Source):
You can put this solution on YOUR website!

Determinar una raíz de la siguiente ecuación
de variable “x”: x2 + (3a - 2b)x - 6ab = 0

Using the "ac" method, we determine whcih 2 factors, when multiplied, gives "ac," or - 6ab.
Furthermore, the same 2 factors sum to "b", or 3a - 2b. These 2 factors are: + 3a and - 2b
Rewrite the equation, substituting + 3ax - 2bx for (3a - 2b)x, to get:
x(x + 3a) - 2b(x + 3a) = 0
(x - 2b)(x + 3a) = 0
x - 2b = 0 OR x + 3a = 0 ----- Setting each factor equal to 0.
OR

SOLUTION: Determinar una raíz de la siguiente ecuación de variable “x”: x2 + (3a - 2b)x - 6ab = 0