You are solving a quadratic equation by using the Quadratic Formula. What needs to be done to this equation before we can identify a, b, and c?: 9x^2 + 3x = 11

Answer 1

To use the Quadratic Formula, the quadratic equation must be in the standard form \(ax^2 + bx + c = 0\). The given equation is:

\[ 9x^2 + 3x = 11 \]

To convert it to standard form, you need to move all terms to one side of the equation. You can do this by subtracting 11 from both sides:

\[ 9x^2 + 3x - 11 = 0 \]

Now, the equation is in standard form, where you can identify \(a\), \(b\), and \(c\):

• \(a = 9\)
• \(b = 3\)
• \(c = -11\)

Now you can use the Quadratic Formula:

\[ x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{2a} \]