Question

1. (A Conquista da Matemática) Determine as raizes das equações pola fatoração do trinômio quadrado perfeito
a)? - 6x +90
b) x + 10 x + 250
c) x 16 x + 64 - 0
d) x + 14 x +49 - 0
e) x² - 4x + 4 o
1) x2 + 12x + 36 0
g) x 18 x + 81 - 0
h) x2 + 20 x + 100 0​

Answer 1

a) x²- 6x +9 =0

(x-3)²=0 => x-3=0 => x=3 ✓

b) x² + 10 x + 25

(x+5)² = 0 => x+5=0 => x= -5 ✓

c) x² - 16 x + 64 - 0

(x-8)²=0 => x-8=0 => x=8 ✓

d) x²+ 14 x +49 - 0

(x+7)² =0 => x+7=0 => x= -7 ✓

e) x² - 4x + 4 =0

(x-2)² = 0 => x-2=0 => x= 2 ✓

1) x2 + 12x + 36 0

(x+6)²=0 => x+6=0 => x= -6 ✓

g) x² - 18 x + 81 - 0

(x-9)²=0 => x-9=0 => x=9 ✓

h) x2 + 20 x + 100 0

(x+10)²=0 => x+10=0 => x= -10 ✓