Question

X(2x-1)+6=4(x+1)

(x-1)(x-2)=6

(2x-3)(x-8)=34

Answer 1

X(2x-1)+6=4(x+1)
2x² - x + 6 = 4x + 4
2x² - 5x + 2 = 0
a= 2, b= -5, c= 2

∆= b² - 4.a.c
∆= (-5)² - 4.2.2
∆= 25 - 16
∆= 9

x= -b±√∆ /2.a

x'= 5+3/2.2
x'= 8/4
x'= 2

x"= 5-3/4
x"= 2/4
x"= 1/2



(x-1)(x-2)=6
x² - 2x - x + 2 = 6
x² - 3x - 4 = 0

∆= (-3)² - 4.1.(-4)
∆= 9 + 16
∆= 25

x= -b±√∆ /2.a

x'= 3+5/2.1
x'= 8/2
x'= 4

x"= 3-5/2
x"= -2/2
x"= -1

(2x-3)(x-8)=34
2x² - 16x - 3x + 24 = 34
2x² - 19x - 10 = 0

∆= (-19)² - 4. 2. (-10)
∆= 361 + 80
∆= 441

x= -b±√∆ /2.a

x'= 19+21/2.2
x'= 40/4
x'= 10

x"= 19-21/4
x"= -2/4
x"= -1/2

Bons estudos! :)