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-(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)=-(3)/(2)\Rightarrow b=-(3)/(4)`

So, our expression would take the shape:

`w^2-(3)/(2)w+(9)/(16)=(w-(3)/(4))^2`