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3x - [tex]x^{2}[/tex] = [tex]\frac{(x^{2}-3x)^{2} }{2}[/tex]
3x - [tex]x^{2}[/tex] = [tex]\frac{(x^{2}-3x)^{2} }{2}[/tex]
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Verified answer
3x - x² = (x² - 3x)²/2
(x² - 3x)²/2 - (3x - x²) = 0
(x² - 3x)²/2 + (x² - 3x) = 0
(x² - 3x)*((x² - 3x)/2 + 1) = 0
x(x - 3)(x² - 3x + 2) = 0
x = 0
x = 3
x² - 3x + 2 = 0
D = 9 - 8 = 1
x12 = (3 +- 1)/2 = 1 и 2
ответ 0, 3, 1, 2