Question

Find the value of n such that x2-10x+n is a perfect square trinomial.

A. -5
B. 50
C. 100
D. 25

Answer 1

the answer is 25!!

Explanation:

I hope this is helpful to sum of y'all!!

Answer 2

The answer is the last option (Option D), which is:

D. 25

The explanation is shown below:

1. You have that:

(a ± b)^2=a^2 ± 2ab + b^2

2. The expression given in the problem is:

x^2-10x+n

Where x^2=a and 2ab=10x

2b=10
b=10/2
b=5

3. Therefore, you have:

b^2=5
b^2=25

b^2=n
n=25