Question

determinar el conjunto solucion, urgente

Answer 1

Respuesta:

S = {-2, 8}

Explicación paso a paso:

Seja |x - 3| = y

3y² - 14y - 5 = 0

$\Delta=(-14)^2-4.3.(-5)5\\\\\Delta=196+60=256\\\\y=\frac{-(-14)\pm\sqrt{256} }{2.3}\\\\y=\frac{14\pm16}{6} \\\\y=\frac{30}{6}=5\\ou\\y=\frac{-2}{6} =-\frac{1}{3} \\\\|x-3|=5\\\\x-3=5 \implies x=5+3=8~~ou~~x-3=-5 \implies x=-5+3 \implies x=-2\\\\|x-3|=-\frac{1}{3} (imposs.)$