18 + 81 = 9(x²<span> + 6x + 9)
</span><span>11 = (x + 3)</span>²
When we are completing the square, we are going to move the value of c across the equals. We will do that by adding, and end up with
18=9(x²+6x)
We take the value of b (the coefficient of x), divide it by 2 and square it:
(6/2)²=3²=9
This is the value that completes the square. However, since the entire square is multiplied by 9, this value must be multiplied by 9 before we can add it across the equals:
18+9(9) = 9(x²+6x+9)
18+81=9(x²+6x+9)
99=9(x²+6x+9)
Dividing both sides by 9, we have:
11=x²+6x+9
11=(x+3)²
We must first make each fraction have a common denominator, this will be 12
2/3 * 4/4 = 8/12
3/4 * 3/3 = 9/12
4/2 * 6/6 = 24/12
we can then add the numerators of each fraction
8 + 9 + 24 = 41
so our answer is 41/12
we can not simplify any further and thus get
41/12
Ayo we need more information you know you can post pictures right?