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ГДЗ Алгебра 9 клас Істер НУШ
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3) (〖2x〗^2 - 3x - 2)/(x + 1 - 〖2x〗^2 ) = ((2x + 1)(x - 2))/(-(2x + 1)(x - 1)) = (x - 2)/(1 - x).
2x2 – 3x – 2 = 2(x + 1/2)(x – 2) = (2x + 1)(x – 2);
D = (–3)2 – 4 • 2 • (–2) = 9 + 16 = 25;
x1 = (3 - √25)/(2 • 2) = (3 - 5)/4 = (-2)/4 = –1/2;
x2 = (3 + 5)/4 = 8/4 = 2. –2x2 + x + 1 = –2(x + 1/2)(x – 1) = –(2x + 1)(x – 1).
D = 12 – 4 • (–2) • 1 = 1 + 8 = 9;
x1 = (-1 - √9)/(2 • (-2)) = (-1 - 3)/(-4) = (-4)/(-4) = 1;
x2 = (-1 + 3)/(-4) = 2/(-4) = –1/2.
2x2 – 3x – 2 = 2(x + 1/2)(x – 2) = (2x + 1)(x – 2);
D = (–3)2 – 4 • 2 • (–2) = 9 + 16 = 25;
x1 = (3 - √25)/(2 • 2) = (3 - 5)/4 = (-2)/4 = –1/2;
x2 = (3 + 5)/4 = 8/4 = 2. –2x2 + x + 1 = –2(x + 1/2)(x – 1) = –(2x + 1)(x – 1).
D = 12 – 4 • (–2) • 1 = 1 + 8 = 9;
x1 = (-1 - √9)/(2 • (-2)) = (-1 - 3)/(-4) = (-4)/(-4) = 1;
x2 = (-1 + 3)/(-4) = 2/(-4) = –1/2.