Solve Quadratic Equation 2x^2 + 6x - 1 = 0 Using Quadratic Formula

Learn how to solve the quadratic equation 2x^2 + 6x - 1 = 0 using the quadratic formula, finding the exact values for x.

Answer

To solve the quadratic equation

using the quadratic formula, follow these steps:

1. Identify the coefficients

A quadratic equation is in the standard form

. Comparing this to our equation:

2. Apply the quadratic formula

The quadratic formula is:

Substitute the values of

, and

into the formula:

3. Simplify the expression

First, simplify the terms inside the square root (the discriminant):

Next, simplify the square root of

. Since

, we have:

Now substitute this back into the equation:

4. Final simplification

Divide both terms in the numerator by the denominator (or factor out a

from the numerator):

This gives us two solutions:

Final Answer:

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