Question

c)(x-1)•(x-2)=(x-1)•(2x+3)​

Answer 1

Explicação passo-a-passo:

( x - 1) • (x - 2) = ( x - 1) • (2x + 3)

x² - 2x - x + 2 = 2x² + 3x - 2x - 3

x² - 3x + 2 = 2x² + x - 3

x² - 2x² - 3x - x + 2 + 3 =0

- x² - 4x + 5 = 0

A= - 1

B= - 4

C= 5

∆= b² - 4ac

∆= ( - 4)² - 4 • ( - 1) • 5

∆= 16 + 20

∆= 36

x= - b ± √∆/2a

x= - ( - 4) ± √36/ 2 • ( - 1)

x'= 4 + 6/- 2 = 10/-2 = - 5

x''= 4 - 6/-2 = - 2/-2 = 1

S= ( 1 ; - 5)