Question

The Quadratic Formula gives which roots for the equation 3x² + 3x=2?

OA.
X =
-3+√33

Answer 1

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Explanation:

The Quadratic Formula gives the roots of a quadratic equation of the form ax^2 + bx + c = 0. The formula is:

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

For the equation 3x^2 + 3x - 2 = 0, we can plug in the values a=3, b=3, and c=-2 to get:

x = (-3 +/- sqrt(3^2 - 43(-2))) / (2*3)

This simplifies to:

x = (-3 +/- sqrt(9 + 24)) / 6

Which simplifies to:

x = (-3 +/- sqrt(33)) / 6

So the roots are:

x = (-3 + sqrt(33)) / 6 = -0.5 + sqrt(33)/6

x = (-3 - sqrt(33)) / 6 = -0.5 - sqrt(33)/6