Completing the square process, I don't quite understand it yet, can someone explain step by step? X^2+10x+16=0
1 Answer
Explanation:
Step 1.
Divide right through by the coefficient of
We have a coefficient of 1, so we don't need to do this.
Step 2.
Move the constant to the
Step 3.
Add to both sides the square of half the coefficient of
In this example this is
Step 4.
Form a binomial on the
Take away the
Then we have:
And all together:
Step 5.
Simplify
Step 6.
Take the square root of both sides:
i.e.
Step 7.
Subtract five from both sides:
So the solutions are: