SOLUTION: Using the quadratic formula to solve for the roots. Given {{{3x^2+3x-2=0}}} I think it's ax2+bx+c=0 but I get lost on how to work it out.

Question 1176837: Using the quadratic formula to solve for the roots.
Given
I think it's ax2+bx+c=0 but I get lost on how to work it out.
Found 3 solutions by math_tutor2020, josgarithmetic, Solver92311:
Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

The ax^2+bx+c = 0 is known as standard form for a quadratic. Compare that to what you were given and we see that
a = 3
b = 3
c = -2

Those values are then plugged into the quadratic formula below. I broke up the "plus/minus" to form two separate equations.
or

or

or Exact Solutions

or Use a calculator from here.

or

or Values are approximate

----------------------------------------------------------------------------

So to recap, the exact solutions are:
or
which approximate to
or
in that exact order given

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!

---------Use this formula to solve your example.
Answer by Solver92311(821)   (Show Source): You can put this solution on YOUR website!

Quadratic Formula

The two roots of are:

The character of the roots:

: Two distinct real number roots.

: One root with a multiplicity of two.

: A conjugate pair of complex number roots.

Plug your given coefficients into the formula and do the arithmetic. Your roots will be real and irrational, so I would leave them in radical form.

John

My calculator said it, I believe it, that settles it

From
I > Ø

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