Решите уравнение (8x-5) (-5x-8)=0. Created by Lina016. algebra-ru

Решите уравнение (8x-5) (-5x-8)=0...

nastus228 1) (8x - 5)(-5x - 8) = 0
   -40x² + 25x - 64x + 40 = 0
      40x² + 39x - 40 = 0            D = b²-4ac = 1521+6400 = 7921 = 89²

x₁ = (-b+√D)/2a = (-39+89)/80 = 5/8 = 0,625
x₂= (-b-√D)/2a = (-39-89)/80 = -128/80 = -1,6

Ответ: {-1,6; 0,625}

2) (8x - 5)(-5x - 8) = 0

   a) 8x-5 = 0
   x = 5/8
   x = 0,625

b) -5x - 8 = 0
   -5x = 8
x = -8/5
x = -1,6

Ответ: {-1,6; 0,625}

0 votes Thanks 1

Regent1828

Verified answer

1)8x-5=0
8x=5
x=5/8
2)-5x-8=0
-5x=8
x=-8/5
Ответ : x1=5/8
x2=-8/5

1 votes Thanks 1

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