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4 votes
What is the value of c such that x^2-20x+c is a perfect-square trinomial?

2 Answers

5 votes

Answer:

c=100

Explanation:

To complete the square, it would really help if the coefficient of x^2 is 1 which is so formula for c in this case is just (b/2)^2

So (-20/2)^2

simplifying gives

(-10)^2

100

c=100

User Leon Latsch
by
7.7k points
4 votes

Answer:

100

Explanation:

The question is on making the equation a perfect square

Given ;


x^2 - 20x + c

To get c;


c=((b)/(2) )^2

where ;


b= -20


c= ((-20)/(2) )^2 = 10^2 = 100

User Ronye Vernaes
by
7.5k points