Resolva as equações de 2° grau incompleta abaixo, com base na explicação dos exemplos acima:
a) X2– 36 = 0. j) 17x2– 17 = 0
b) X2- 81 = 0. k) 3x2– 243 = 0
c) X2– 121 = 0. l) 5x2– 125 = 0
d) X2– 196 = 0. m) x2– 1024 = 0
e) X2 – 400 = 0. n) x2 - 361 = 0
f) X2– 324 = 0. o) 4x2– 64 = 0
g) X2– 169 = 0. p) 10x2– 250 = 0
h) 2x2– 512 = 0. q) x2 - 625 = 0
i) 3x2– 27 = 0. r) x2– 1600 = 0
Soluções para a tarefa
Resposta:
Explicação passo-a-passo:
a) X2– 36 = 0 . j) 17x2– 17 = 0
x²= 36 17x²=17 → x²= 17/17
x=±√36 → x=± 6 x=±√17/√17
x'=6 x"= -6 x'=√17/√17
x"= -√17/√17
b) X2- 81 = 0. k) 3x2– 243 = 0
x²=81 → x=±√81 3x²=243 → x²=243/3
x=±9 → x'=9 x"=-9 x²=81 → x=±√81
x=±9 → x'=9 x"=-9
c) X2– 121 = 0. l) 5x2– 125 = 0
x²=121 → x=±√121 5x²=125 → x²=125/5
x=±11 → x'=11 x"=-11 x²=25 → x=±√25
x=±5 → x'=5 x"=-5
d) X2– 196 = 0. m) x2– 1024 = 0
x²=196 → x=±√196 x²=1024 → x=±√1024
x=±14 → x'=14 x"=-14 x=±32→ x'=32 x"=-32
e) X2 – 400 = 0. n) x2 - 361 = 0
x²=400 → x=±√400 x²=361 →x±√ 361
x=±20 → x'=20 x"=-20 x=±19→ x'=19 x"=-19
f) X2– 324 = 0. o) 4x2– 64 = 0
x²=324 → x=±√324 4x²=64 → x²=16
x=±18 → x'=18 x"=-18 x=±√16 → x=±4
x'=16 x"=-16
g) X2– 169 = 0. p) 10x2– 250 = 0
x²=169 → x=±√169 10x²=250 →
x=±13 → x'=13 x"=-13 x²=250/10 → x²=25
x=±√25 → x=±5
x'=5 x"=-5
h) 2x2– 512 = 0. q) x2 - 625 = 0
2x²=512 → x²=512/2 x²=625 → x=±√625
x²=256 → x=±√256 x=±25
x=±16 → x'=16 x"=-16 x'=25 x"=-25
i) 3x2– 27 = 0. r ) x2– 1600 = 0
3x²=27 → x²=27/3 x²=1600 →
x²=9 → x=±√9 x=±√1600→ x=±40
x=±3 → x'=3 x"=-3 x'=40 x"=-40