You can put this solution on YOUR website! Given:
.
.
Subtract 11 from both sides to get the constant on the right side of the equation. This results
in the equation becoming:
.
.
You want the multiplier (coefficient) of the term to be 1. To make that happen,
divide every term on both sides of the equation by the multiplier of the which is 2.
When you do that division the equation becomes:
.
.
Next, divide the multiplier of the x term by 2. That is divide the 5 by 2 to get .
Square that term to get . Now add to both sides of the equation.
You get:
.
.
The left side factors to:
.
.
Multiply the by to get which now has a common denominator
with the other term on the right side. Substitute this into the equation to get:
.
.
The right side combines to give:
.
.
Now take the square root of both sides to get:
.
.
Note that when you take the square root of the right side, the square root is preceded by
both a + and a - sign. This shows in the next step. Look carefully for the two signs
between the two terms on the right side.
.
Subtract from both sides and also transform the square root of 3/4 into the
square root of 3 divided by the square root of 4. When you do that you will get:
.
.
The square root of 4 is 2 and when this is substituted the equation becomes:
.
.
Hope this helps you to understand the process of completing the square to solve a quadratic
equation.
(