Answer:
x = 3
x = 2
x= ± √ -1
Step-by-step explanation:
((((x^4)-(5•(x^3)))+7x^2)-5x)+6 = 0
((((x^4) - 5x^3) + 7x^2) - 5x) + 6 = 0
Dividing : x^4-5x^3+7x^2-5x+6
("Dividend")
By : x-3 ("Divisor")
Quotient : x^3-2x^2+x-2 Remainder: 0
Dividing : x^3-2x^2+x-2
("Dividend")
By : x-2 ("Divisor")
Quotient : x^2+1 Remainder: 0
(x^2 + 1) • (x - 2) • (x - 3) = 0
x^2+1 = 0
x^2 = -1
x = ± √ -1
x-2 = 0
x = 2
x-3 = 0
x = 3