а) (x - 2)(3x-1) = 2x(x - 4)+2
3x² - x - 6x + 2 = 2x² - 8x + 2
3x² - 7x + 2 = 2x² - 8x + 2
3x² - 7x = 2x² - 8x
3x² - 7x - 2x² + 8x = 0
x² + x = 0
D = 1 - 4 × 1 × 0 = 1
x1 = - 1 - 1 / 2 = - 1
x2 = - 1 + 1 / 2 = 0
b) (8 - x)(x - 2) = 10x
8x + 2x - x² - 16 = 10x
10x - x² - 16 = 10x
-x² - 16 = 0
D = 0 - 4(-1)×(-16) = - 64
x12 = 0 ± √-64 / -2
x ∉ R
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Answers & Comments
а) (x - 2)(3x-1) = 2x(x - 4)+2
3x² - x - 6x + 2 = 2x² - 8x + 2
3x² - 7x + 2 = 2x² - 8x + 2
3x² - 7x = 2x² - 8x
3x² - 7x - 2x² + 8x = 0
x² + x = 0
D = 1 - 4 × 1 × 0 = 1
x1 = - 1 - 1 / 2 = - 1
x2 = - 1 + 1 / 2 = 0
b) (8 - x)(x - 2) = 10x
8x + 2x - x² - 16 = 10x
10x - x² - 16 = 10x
-x² - 16 = 0
D = 0 - 4(-1)×(-16) = - 64
x12 = 0 ± √-64 / -2
x ∉ R