Answer:
Option A
Step-by-step explanation:
[tex]2x^{2}-12x-50=0\\ \\2x^{2}-12x = 50\\[/tex]
Divide through by 2
[tex]x^{2} - 6x = 25[/tex]
[tex]But, x^{2} - 6x = (x-3)^{2} - 9\\ \\So, x^{2} - 6x = 25[/tex]
Now becomes,
[tex](x-3)^{2} -9=25\\\\(x-3)^{2}=25+9=34\\\\(x-3)^{2}=34[/tex]