Question

02)resolva as equações:

A)x²-121=0



B)x²-100=0



c)x²-12x=0




D)x²-13x=0


E)x²-20x=0


F)x²-17x=0

Answer 1

A)x²-121=0

x² = 121
√x² = √121
x = ±11

ou

a= 1, b= 0, c= -121

∆= b² - 4.a.c
∆= 0² - 4.1.(-121)
∆= 484

x= -b±√∆ /2.a

x'= -0+22/2.1
x'= 22/2
x'= 11

x"= -22/2
x"= -11

B)x²-100=0

x² = 100
√x² = √100
x= ±10

ou

∆= 0² - 4.1.(-100)
∆= 400

x'= 400/2.1
x'= 200

x"= -400/2
x"= -200

c)x²-12x=0
a= 1, b= -12, c=0

∆= (-12)² - 4.1.0
∆= 144

x= -b±√∆ /2.a

x'= 12+12/2.1
x'= 24/2
x'= 12

x"= 12-12/2
x"= 0/2
x"= 0


D)x²-13x=0

∆= (-13)² - 4.1.0
∆= 169

x'= 13+13/2.1
x'= 26/2
x'= 13

x"= 13-13/2
x"= 0/2
x"= 0

E)x²-20x=0

∆= (-20)² - 4.1.0
∆= 400

x'= 20+20/2
x'= 40/2
x'= 20

x"= 20-20/2
x"= 0/2
x"= 0

F)x²-17x=0

∆= (-17)² - 4.1.0
∆= 289

x'= 17+17/2
x'= 34/2
x'= 17

x"= 17-17/2
x"= 0/2
x"= 0

Bons estudos! :)