Question

$(2x + 1) \times ( \frac{x}{2} - 2) = x + 5$
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Answer 1

Resposta:

(2x+1)*(x/2-2)=x+5

(2x+1) * x/2  + (2x+1)*(-2) =x+5

x²+x/2 -4x-2 =x+5

x²+x/2 -4x-2-x-5=0

x²+x/2-5x-7=0

x²+x/2-10x/2-7=0

x²-9x/2-7=0

x'= [ 9/2 + √(81/4 +28)]/2 =[9/2 +(√193)/2]/2 =9/4 + (√193)/4

x''= [ 9/2 - √(81/4 +28)]/2 =[9/2 -(√193)/2]/2 =9/4 - (√193)/4

Answer 2

Resposta:

x' = (4,5 + 12,68)/2 = 8,59

x" = (4,5 - 12,68)/2 = - 4,09

Explicação passo-a-passo:

(2x+ 1).(x/2 - 2) = x+ 5

x^2 - 4x +x/2 - 2 - x -5 = 0

x^2 + (-5x + x/2) - 5 = 0

x^2 + (-10x/2 + x/2) - 5 = 0

x^2 -9x/2 - 5

x = (9/2 +_ (V81/4 + 20)/2

x = (9/2 +_ (V(81 +80)/2 )/2

x = (9/2 +_ (V161)/2) / 2

x = (4,5 +_ 12,68)/2

x' = (4,5 + 12,68)/2 = 8,59

x" = (4,5 - 12,68)/2 = - 4,09