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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 Answer

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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

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