Question

26- Resolva as equações a) (x+1)² = 7+x b) (x-2)² - x =1 c)x² = 4/5 x + 1/5 d) x²/4 -x/3 + 1/9 =0 e)x²- 3 = x-3/6 f)x²-5x/3 + 1= 2x+11/3

Answer 1

a) (x+1)² = 7+x
 x² + 2x + 1 = 7 + x
x² +2x - x + 1 -7=0
x² + x -6=0

b) (x-2)² - x =1
x² - 4x + 4 - x = 1
x² -5x + 3=0
 
c)x² = 4/5 x + 1/5  mmc=5
5x² = 4x + 1
5x² - 4x -1 =0


d) x²/4 -x/3 + 1/9 =0     mmc=36
9x² - 12x + 4 =0


e)x²- 3 = x-3/6  mmc=6
6x² - 18 = 6x -3
6x² -6x -18 +3=0
6x² -6x -15=0
 

f)x²-5x/3 + 1= 2x+11/3   mmc=3
3x² -5x + 3 = 6x + 11
3x² -5x -6x + 3 -11 =0
3x² -11x  -9 =0