Question

Proszę o zrobienie przykładu g i h.

Answer 1

G)
(x - 1)(x - 6) = -2x(x - 1)
x² - 6x - x + 6 = -2x² + 2x
x² + 2x² - 7x - 2x + 6 = 0
3x² - 9x + 6 = 0
Δ = (-9)² - 4*3*6 = 81 - 72 = 9
√Δ = 3
x₁ = (9 - 3)/6 = 1
x₂ = (9 + 3)/6 = 2

h)
(2x + 1)(x - 4) = 9(x - 4)
2x² - 8x + x - 4 = 9x - 36
2x² - 7x - 9x - 4 + 36 = 0
2x² - 16x + 32 = 0
Δ = (-16)² - 4*2*32 = 256 - 256 = 0
x₀ = 16/4 = 4