Question

utilizando a fórmula Bháskara resolva as equações abaixo?
a) 3x²+3x-5=0
b) x²-2x+1=0
c) x²+5x+4=0​

Answer 1

Explicação passo-a-passo:

2x²+3x-5=0

a=2

b=3

c=-5

∆=b²-4ac

∆=3²-4×2×-5

∆=9+40

∆=49

-b±√∆/2a

-3±√49/2×2

-3±7/4

x¹=-3+7/4=4/4=>1

x²=-3-7/4=-10/4(÷2)=>-5/2

x²-2x+1=0

a=1

b=-2

c=1

∆=b²-4ac

∆=(-2)²-4×1×1

∆=4-4

∆=0

-b±√∆/2a

2±√0/2×1

2±0/2

x¹=2+0/2=2/2=>1

x²=2-0/2=2/2=>1

x²+5x+4=0

a=1

b=5

c=4

∆=b²-4ac

∆=5²-4×1×4

∆=25-16

∆=9

-b±√∆/2a

-5±√9/2×1

-5±3/2

x¹=-5+3/2=-2/2=>-1

x²=-5-3/2=-8/2=>-4