Question

Rozwiąż równanie
f) x-2x²=x²-4

Answer 1

Odpowiedź:

f)

x - 2x² = x² - 4

- 2x² - x² + x + 4 = 0

- 3x² + x + 4 = 0

a = - 3 , b = 1 , c = 4

Δ = b² - 4ac = 1² - 4 * (- 3) * 4 = 1 + 48 = 49

√Δ = √49 = 7

x₁ = (- b - √Δ)/2a = (- 1 - 7)/(- 6) = 8/6 = 1 2/6 = 1 1/3

x₂ = (- b + √Δ)/2a = (- 1 + 7)/(- 6) = 6/(- 6) = - 1