Question

Resolva as equações em R: a) 2X²-5x+3=0

Answer 1

Resposta:

2x²-5x+3=0

x²-5x/2+3/2=0

x²-5x/2 +(5/4)²-(5/4)²+3/2=0

(x-5/4)²-25/16+3/2=0

(x-5/4)²-25/16+24/16=0

(x-5/4)²=1/16

x-5/4 =±√(1/16)

x=5/4±1/4

x'=6/4=3/2     e x''= 1

Answer 2

Explicação passo-a-passo:

2x²-5x+3=0

a=2

b=-5

c=3

∆=b²-4.a.c

∆=(-5)²-4.(2).(3)

∆=25-24

∆=1

x'=[-(-5)+√1]/2.(2)

x'=[5+1]/4

x'=6/4= (6÷2)/(4÷2)=3/2

x"=[-(-5)-√1]/2.(2)

x"=[5-1]/4=4/4=1

Resposta :

S={( 1 , 3/2)}