When solving this quadratic by using the Quadratic Formula, what are the values of a, b, and c?: 5x^2 + 12x = 8

1 answer

To solve the quadratic equation \(5x^2 + 12x = 8\) using the Quadratic Formula, we first need to rewrite the equation in standard form, which is \(ax^2 + bx + c = 0\).

Starting with the original equation:

\[ 5x^2 + 12x - 8 = 0 \]

Now, we can identify the coefficients \(a\), \(b\), and \(c\):

  • \(a = 5\) (the coefficient of \(x^2\))
  • \(b = 12\) (the coefficient of \(x\))
  • \(c = -8\) (the constant term)

So the values are:

  • \(a = 5\)
  • \(b = 12\)
  • \(c = -8\)