Respuesta :
(Half of b)²=36
half of b=6 or half of b=-6
b=12 or b=-12
Note: the perfect square is either (x+6)² or (x-6)²
half of b=6 or half of b=-6
b=12 or b=-12
Note: the perfect square is either (x+6)² or (x-6)²
Answer:
-12 and 12.
Step-by-step explanation:
The given trinomial is
[tex]x^2-bx+36[/tex]
A trinomial [tex]Ax^2+Bx+C[/tex] is a perfect square trinomial if
[tex]B^2-4AC=0[/tex] ....(1)
In the given trinomial A=1, B=-b and C=36. Substitute these values in equation (1).
[tex](-b)^2-4(1)(36)=0[/tex]
[tex]b^2-144=0[/tex]
[tex]b^2=144[/tex]
Taking square root on both sides.
[tex]b=\pm \sqrt{144}[/tex]
[tex]b=\pm 12[/tex]
Therefore, the possible values of b are -12 and 12.
