Question

Rozwiaz rownania i nierownosci: 16x do kwadratu-100=12x do kwadratu ; x do kwadratu-x-2

Answer 1

16x do kwadratu-100=12x do kwadratu ; x do kwadratu-x-2

16x² - 100 = 12x² ;                                       x² - x - 2 = 0
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16x² - 100 = 12x²
16x² - 12x² = 100
4x² = 100
x² = 25
x₁ = 5
x₂ =-5
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x² - x - 2 = 0
D = 1 + 8 = 9
√D = 3
x₁ = (1-3)/2  =-1
x₂ = (1+3)/2 = 2