Question

Simplifique a expressão:
a) (x+2)ao quadrado + (x+3)ao quadrado + (x+4)ao quadrado + (x+5)ao quadrado

b) (x+y)ao quadrado + (2x-y)ao quadrado

Answer 1

a) x2 + 4x + 4 + x2 + 6x + 9 + x2 + 8x + 16 + x2 + 10x + 25 <=> 4x2 + 28x + 54 = 0 <=> x = (-1) x 28 raiz (28)2 - 4 x 4 x 54
———————————————
4x2
<=> x = - 28 raiz 1648
——————-
8
<=> x = 28 - 41 v x = 28 + 41
———- ————
8 8
<=> x = -13 v x ≈ 12
—-
8



b) x2 + y2 + (2x)2 - y2 <=> x2 + (4x)2 = (5x)2