Question

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Answer 1

Minus 1 both sides
x²-8x=-1

take 1/2 of the linear coefient and square it
-8 is the linear coefient
-8/2=-4, (-4)²=16
add 16 to both sides

x²-8x+16=16-1
factor perfect squaer trinomial
(x-4)²=15
square root both sides, remember to take positive and negative roots
x-4=+/-√15


not exactly sure what to put in the blnaks

but
the solutions are x=4+√15 and x=4-√15