use the quadratic formula to solve: x^2+6x-6=0. Approximate the solutions to the nearest hundredth

To solve the quadratic equation \(x^2 + 6x - 6 = 0\) using the quadratic formula, we follow these steps:

The quadratic formula is given by:

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

For the given equation \(x^2 + 6x - 6 = 0\), the coefficients are:
- \(a = 1\)
- \(b = 6\)
- \(c = -6\)

Plugging these values into the quadratic formula:

\[
x = \frac{-6 \pm \sqrt{6^2 - 4 \cdot 1 \cdot (-6)}}{2 \cdot 1}
\]

Simplify inside the square root:

\[
x = \frac{-6 \pm \sqrt{36 + 24}}{2}


Learn how to use the quadratic formula to solve the equation x^2 + 6x - 6 = 0. This problem involves finding approximate solutions to the nearest hundredth. Explore step-by-step instructions with clear examples. Suitable for high school students and anyone learning algebra.

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