Question

(x + y = 2 (4xy = 3
sistemas simples matemática​

Answer 1

Resposta:

X1=3/2. X2=1/2

Y1=1/2 Y2=3/2

Explicação passo-a-passo:

X+Y=2. X=2-Y

4XY=3. 4(2-Y)*Y=3

8Y-4Y^2=3

4Y^2-8Y+3=0

∆=b^2-4ac. a=4. b=-8. c=3

∆=(-8)^2-4*4*3=64-48=16

√∆=√16=4

Y1=(-b-√∆)/2*a={-(-8)-4}/2*4=(8-4)/8

Y1=4/8=1/2

Y2=(-b+√∆)/2*a={-(-8)+4}/2*4

=(8+4)/8=12/8=3/2

X1=2-Y1=2-1/2=3/2

X2=2-Y2=2-3/2=1/2

Solução: {(1/2;3/2); (3/2;1/2)}

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