Answer:
[tex](x-1)^{2}=8[/tex]
Step-by-step explanation:
we have
[tex]x^{2} -2x-7=0[/tex]
Group terms that contain the same variable, and move the constant to the opposite side of the equation
[tex]x^{2} -2x=7[/tex]
Complete the square. Remember to balance the equation by adding the same constants to each side
[tex]x^{2} -2x+1=7+1[/tex]
[tex]x^{2} -2x+1=8[/tex]
Rewrite as perfect squares
[tex](x-1)^{2}=8[/tex]
therefore
[tex]h=1, c=8[/tex]
