Svar:
# A (x) = (x-3) * (x-3) #
Forklaring:
Vi har, # A (x) = x ^ 2-6x +4 #
Så, #COLOR (hvid) (xxx) A (x) + 5 = (x ^ 2-6x +4) + 5 #
#rArr A (x) = x ^ 2-6x + 9 #
#rArr A (x) = (x) ^ 2 - 2 * x * 3 + (3) ^ 2 #
#rArr A (x) = (x-3) ^ 2 #
#rArr A (x) = (x - 3) (x - 3) #
Noter det
#COLOR (rød) a ^ 2x ^ 2-bx + c ^ 2 = (sqrt (a ^ 2x ^ 2) -sqrt (c ^ 2)) ^ 2 = (ax-c) ^ 2 # Hvor #b = 2ac #
