Question

La solución de la ecuación cuadrática x(3x+2)=1x(3x+2)=1, es

Answer 1

X(3X + 2) = 1

3X² + 2X = 1

3X² + 2X - 1 = 0  Donde,  a = 3;  b = 2;  c = -1

$X=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$X =\frac{-2\pm \sqrt{2^2-4(3)(-1)}}{2(3)}$

$X=\frac{-2\pm \sqrt{16}}{6}$

X1 = (-2 + 4)/6;  X = 2/6 = 1/3

X2 = (-2 - 4)/6;  X = -6/6 = -1

X1 = 1/3;  X2 = -1