х+8/5х+7=х+8/7х+5;
(х+8)(7х+5)=(х+8)(5х+7);
7x²+56х+5х+40=5х²+40х+7х+56;
2х²+14х-16=0
Д= 196+128=324
x+8/5x+7 = x+8/7x+5
(7x + 5) * (x + 8) = (5x + 7) * (x + 8)
7x² + 56x + 5x + 40 = 5x² + 40x + 7x + 56
7x² + 61x + 40 = 5x² + 47x + 56
2x² + 14x - 16 = 0
x² + 7x - 8 = 0
D= 7² - 4*(-8) = 49 + 32 = √81 = 9
x₁ = (-7+9)/2 = 2/2 = 1
x₂ = (-7 - 9)/2 = -16/2= -8
ответ: -8 ; 1
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Answers & Comments
х+8/5х+7=х+8/7х+5;
(х+8)(7х+5)=(х+8)(5х+7);
7x²+56х+5х+40=5х²+40х+7х+56;
2х²+14х-16=0
Д= 196+128=324
х=1
х=-8
(наверное, так)
x+8/5x+7 = x+8/7x+5
(7x + 5) * (x + 8) = (5x + 7) * (x + 8)
7x² + 56x + 5x + 40 = 5x² + 40x + 7x + 56
7x² + 61x + 40 = 5x² + 47x + 56
2x² + 14x - 16 = 0
x² + 7x - 8 = 0
D= 7² - 4*(-8) = 49 + 32 = √81 = 9
x₁ = (-7+9)/2 = 2/2 = 1
x₂ = (-7 - 9)/2 = -16/2= -8
ответ: -8 ; 1