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

Question

Mathematics

Abdiel Maynard

18 January, 02:13

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

+1

Answers (1)

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Ethen Gilbert · 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