Can You Solve This Diophantine Equation x^6+x^5+4=y^2 ?

Can You Solve This Diophantine Equation x^6+x^5+4=y^2?, if you can then pulse the video and then try your hands on it before checking my own approach but if you cannot just go ahead and watch the full video no extra charges attached sir/madam...😂🤣🤣😂😍😍😍
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[@danielfranca1939]

Your explanations are always superb to me sir. Thanks a million, one of your biggest fan sir....❤❤❤

[@vacuumcarexpo]

(x,y)=(2,±10) are also solutions.

[@BùiChíKhiêm]

why aren't there more than 4 cases

[@wesleydeng71]

You missed at least one case: x=2, y=10 or -10.

[@КатяРыбакова-ш2д]

(2; 10) , (2; -10), (-2; 6), (-2; -6).