Question

2-Encontre as raízes da
equação: (x-5)2-2x=3•(x-10)-1​

Answer 1

(x-5)²-2x = 3(x-10)-1

X² -5x -5x-2x +25= 3x -30-1

X² -5x-5x -2x +25= 3x -31

X² -5x-5x-2x -3x = -31 -25

X² -15x +56= 0

A = 1

B= -15

C= 56

∆ = b²-4.a.c

∆ = (-15)² -4.1.56

∆ = 225 -224

∆ =1

X = -b±√∆ / 2.a

X = -(-15)±√1/2

X' = 15+1/2

X' = 16/2

X' = 8

X" = 15 -1/2

X" = 14/2

X" = 7

S= { 7 ,8}