Question

Resolva as equações com calculos

a) (x + 1)² - x² = 17

b) x (x + 5) = (x + 1)² + 26

10 pontos *-*

Answer 1

a ) ( x + 1 )² - x² = 17

( x + 1 ) ( x + 1 ) - x² = 17

x² + x + x + 1 - x² = 17

2x = 17 - 1

2x = 16

x = 16/2

x = 8

b ) x ( x + 5 ) = ( x + 1 )² + 26

x ( x + 5 ) = ( x + 1 ) ( x + 1 ) + 26

x² + 5x = x² + x + x + 1 + 26

x² -x² + 5x - x - x = 1 + 26

3x = 27

x = 27/3

x = 9