Question

Equações de 2 grau porem somente na forma reduzida?
1) 3(x+4)=(x+5)²

2) (x+5).(x+6)=(x+2).(x-4)

3) (x-7)²+(x+4)²=0


Obrigada galerinha ;)

Answer 1

1) 3(x+4)=(x+5)²
   3x+12= x²+10X+25
   -x²-7x-13=0 .(-1)
    x²+7x+13=0
2) (x+5).(x+6)=(x+2).(x-4)
    x²+6x+5x+30= x²- 4x+ 2x+8
    x²-x²+11x+2x+30+8=0
    13x+38=0
3)  (x-7)²+(x+4)²=0
     2x²-6x+63=0

Answer 2

a)
3(x + 4) = (x + 5)²
3x + 12 = x² + 2.5x + 25
3x + 12 = x² + 10x + 25
0 = x² + 10x - 3x + 25 - 12
0 = x² + 7x + 13
x² + 7x + 13 = 0 

b)
(x + 5).(x + 6) = (x + 2).(x - 4)

x² + 6x + 5x + 30 = x² - 4x + 2x - 8
11x + 30 = - 2x - 8
11x + 2x + 30 + 8 = 0
13x + 38 = 0

c)

(x - 7)² + (x + 4)² = 0
x² - 2.7x + 49 + x² + 2.4x + 16 = 0
x² - 14x + 49 + x² + 8x + 16 = 0
2x² - 6x + 65 = 0