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ГДЗ Алгебра 9 клас Істер НУШ
.jpg?1786901331 "ГДЗ Алгебра 9 клас Істер НУШ")
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2) (x2 – x)2 – 5x2 + 5x + 6 = 0;
(x2 – x)2 – 5(x2 – x) + 6 = 0;
t = x2 – x; t2 – 5t + 6 = 0;
t1 + t2 = 5; t1 • t2 = 6. t1 = 2; t2 = 3.
x2 – x = 2; x2 – x – 2 = 0;
x1 + x2 = 1; x1 • x2 = –2; x1 = 2; x2 = –1.
x2 – x = 3; x2 – x – 3 = 0;
D = (–1)2 – 4 • 1 • (–3) = 1 + 12 = 13.
x1 = (1 - √13)/(2 • 1) = (1 - √13)/2;
x2 = (1 + √13)/2.
Відповідь: –1; 2; (1±√13 )/2.
(x2 – x)2 – 5(x2 – x) + 6 = 0;
t = x2 – x; t2 – 5t + 6 = 0;
t1 + t2 = 5; t1 • t2 = 6. t1 = 2; t2 = 3.
x2 – x = 2; x2 – x – 2 = 0;
x1 + x2 = 1; x1 • x2 = –2; x1 = 2; x2 = –1.
x2 – x = 3; x2 – x – 3 = 0;
D = (–1)2 – 4 • 1 • (–3) = 1 + 12 = 13.
x1 = (1 - √13)/(2 • 1) = (1 - √13)/2;
x2 = (1 + √13)/2.
Відповідь: –1; 2; (1±√13 )/2.