Respuesta :
Answer:
144
Step-by-step explanation:
Perfect square formula: a^2 - 2ab + b^2 (because that equals (a-b)^2)
x^2-2*12x+c
a = 1
b = 12
12^2 = 144
Answer:
The value of [tex]c =144[/tex] makes [tex]x^{2}-24x+c[/tex] perfect square.
Step-by-step explanation:
We have to make [tex]x^{2}-24x+c[/tex]
Since, Perfect square formula: [tex]a^{2} - 2ab + b^{2}=(a-b)^{2}[/tex]
Re-write [tex]x^{2}-24x+c[/tex] as,
[tex]x^{2}-2\times 12x+c[/tex]
Compare above with [tex]a^{2} - 2ab + b^{2}[/tex]
Where a = x and b= 12
so, [tex]b=12[/tex]
⇒ [tex]c =12^{2}=144[/tex]
Hence, [tex](a-b)^{2}=(x-12)^{2}[/tex]
Therefore, the value of [tex]c =144[/tex] makes [tex]x^{2}-24x+c[/tex] perfect square.
