jewelyssa
jewelyssa jewelyssa
  • 08-06-2019
  • Mathematics
contestada

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

Respuesta :

freckledspots freckledspots
  • 08-06-2019

Answer:

c=100

Step-by-step 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

Answer Link
lucic
lucic lucic
  • 08-06-2019

Answer:

100

Step-by-step explanation:

The question is on making the equation a perfect square

Given ;

[tex]x^2 - 20x + c[/tex]

To get c;

[tex]c=(\frac{b}{2} )^2[/tex]

where ;

[tex]b= -20[/tex]

[tex]c= (\frac{-20}{2} )^2 = 10^2 = 100[/tex]

Answer Link

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