exam Maths Puzzle Numerical Ability

Could someone help, Locate the vertices of the following hyperbola:

(x-5)^2/81 - (y-7)^2/49 =1

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exam Other Question

i dont understand on how to do these kinds of problems. I have tried doing it and using the examples but i just cant seem to get it..
can you please help me thank you -Krista need help writing the solution...

x2 +x-12
_______ > 0
x+1 -