odpoveď:
#A (x) = (x-3) * (X-3) #
vysvetlenie:
Máme, #A (x) = x ^ 2-6x + 4 #
takže, #COLOR (biela), (XXX), (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) #
Poznač si to
#COLOR (červená) a ^ 2x ^ 2-bx + c ^ 2 = (sqrt (a ^ 2x ^ 2) -sqrt (c ^ 2)) ^ 2 = (ax-c) ^ 2 # Kde #b = 2ac #