Question

Use the quadratic formula to solve 3x2 + 5x + 2 = 0. A. 5+ √ 17/2 B. x = –2/3, –1 C. x = 2, –3 D. -5 + √ 19 / 6

Answer 1

The quadratic formula is shown below:
 
 x = (-b±√(b^2-4ac))/2a

 You have the equation 3x^2+5x+2 = 0; so "a", "b" and "c" are:

 a = 3
 b = 5
 c = 2

 When you substitute a=3, b=5 and c=2 in the Quadratic Formula, you get two roots:

 x = (-5±√1)/6

 x1 = (-5+1)/6 = -2/3
 x2 = (-5-1)/6 = -1

 The correct answer is "B":
 x = -2/3, -1