Chapter 9 - Quadratic Functions and Equations - 9-6 The Quadratic Formula and the Discriminant - Practice and Problem-Solving Exercises - Page 571: 13

$x=14/3, -11$

$3x^2+19x=154$ $3x^2+19x-154=154-154$ $3x^2+19x-154=0$ $x=(-b±\sqrt {b^2-4ac})/2a$ $x=(-19±\sqrt {19^2-4*3*-154})/2*3$ $x=(-19±\sqrt {361+1848})/6$ $x=(-19±\sqrt {2209})/6$ $x=(-19±47)/6$ $x=(-19+47)/6$ $x=28/6 = 14/3$ $x = (-19-47)/6$ $x = -66/6 = -11$