exam Maths Puzzle Numerical Ability

I want to Thank you for your help. May I please have you show me how to do this problem - I am so confused and have tried to figure this out. Thank you again! What am I doing wrong

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exam Other Question

Find all intercepts for the graph of the quadratic function
f(x) = 5x^2 - 19x + 12
(sqrt 6+ 2)^2
i got--- 14 sqrt6 is this right?