Question

Stage if the following are perfect square trinomials. Show work that justifies.

Answer 1

Given:

The given expression is

$x^2-20x+50$

Find:

we have to check whether the given expression is a perfect square trinomials or not.

Explanation:

An expression obtained from the square of a binomial equation is a perfect square trinomial. An expression is said to a perfect square trinomial if it takes the form ax^2 + bx + c and satisfies the condition b^2 = 4ac.

compare x^2-20x+50 with ax^2 + bx + c, we have

a=1, b = -20, c =50

Now

$\begin{gathered} b^2=(-20)^2=400 \\ 4ac=4(1)(50)=200 \\ \therefore b^2\ne4ac \end{gathered}$

Therefore, b^2 is not equal to 4ac,

Hence the given expression is not a perfect square trinomials.