Algebra-1

To solve the equation  , we’ll follow the steps systematically.

Step 1: Rearrange the Equation

First, we'll move -1 to the left side:

 

Step 2: Rewrite in Standard Form

Rearranging it to standard form gives:

 

Step 3: Use the Quadratic Formula

The quadratic formula is given by:

 

For our equation, we have:

a = -1, b = 2, c = -6

 

Step 4: Calculate the Discriminant

Now, let’s calculate the discriminant :

 

Step 5: Substitute into the Quadratic Formula

Now we substitute (a), (b), and the discriminant into the quadratic formula:

Click "Show Answer" to reveal the answer and analysis