Algebra-1

To solve the quadratic equation by completing the square, follow these steps:

Step 1: Move all terms to one side

First, move -18 to the left side of the equation:

 

This simplifies to:

 

Step 2: Factor out the coefficient of

To make completing the square easier, factor out -5 from the left-hand side:

 

Step 3: Divide by -5

Now divide both sides by (-5):

 

Step 4: Move the constant to the other side

Isolate the (x) terms:

 

Step 5: Complete the square

To complete the square, add and subtract the square of half the coefficient of x:

1.The coefficient of x is -3.

2.Half of -3 is

3.Squaring gives:

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