Answer:
[tex]c = 4[/tex]
Step-by-step explanation:
Given
[tex]x^2 - 4x + c[/tex]
Required
Find c
The question is incomplete. However, I'll assume the expression is a perfect square.
To find c, we make use of the following formula
[tex]c = (\frac{b}{2})^2[/tex]
Where
[tex]ax^2 + bx + c[/tex]
By comparison with [tex]x^2 - 4x + c[/tex]
[tex]a =1[/tex]
[tex]b = -4[/tex]
So, [tex]c = (\frac{b}{2})^2[/tex] becomes
[tex]c = (\frac{-4}{2})^2[/tex]
[tex]c = (-2)^2[/tex]
[tex]c = 4[/tex]
The value of c that makes the expression, [tex]x^2 - 4x + c[/tex] a perfect square is 4 and the expression is: [tex]x^2 - 4x + 4[/tex]
