Odpowiedź:
A. < 14,22 >
Szczegółowe wyjaśnienie:
(x - a)/5 = 3/(x - b)
a = 19
b = 17
(x - 19)/5 = 3/(x - 17)
zalożenie :
x - 17=/= 0
x =/= 17
D = R \{17}
(x - 19)* (x - 17) = 5 * 3
x² - 17x - 19x + 323 = 15
x² - 36x + 323 - 15 = 0
x² - 36x + 308 = 0
a = 1 ,b = - 36 , c = 308
∆ = b² - 4ac
∆ = (-36) - 4 * 1 * 308 = 1296 - 1232 = 64
√∆ = √64 = 8
x1 = (-b -√∆)/2a
x1 = (36 - 8)/2 = 28/2 = 14
x2 = (-b + √∆)/2a
x2 = (36 + 8)/2 = 44/2 = 22
Odp : x1 = 14 v x2 = 22
