if alpha beta are the roots of equation X square + kx + 45 is equal to zero find the value of k if Alpha minus beta square 2 is equal to 144

Dear Student,
Your question is not clear. Kindly specify whether in the last part of the question, it is written alpha minus beta whole square or alpha - beta square. It is unclear that the square is on ( alpha- beta) or only on beta. 
Kindly recheck your question and please be a little specific so that we can provide you with some meaningful help. Looking forward to hear from you again!

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