Question

Question Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. w^2-3w/2answer formatw^2 - 3w/2 + ___=(___)^2

Answer 1

We will have the expression:

$w^2-\frac{3}{2}w+x=()^2$

We know that the (-3/2) has to be the result of:

$2(a)(b)$

Where a is the value besides w^2 and b is the other value, then we solve for it, that is:

$2(1)(b)=-\frac{3}{2}\Rightarrow b=-\frac{3}{4}$

So, our expression would take the shape:

$w^2-\frac{3}{2}w+\frac{9}{16}=(w-\frac{3}{4})^2$