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ГДЗ Алгебра 9 клас Істер НУШ
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3) (〖2x〗^2 + 5x - 3)/(〖3x - 2x〗^2 - 1) = ((2x - 1)(x + 3))/(-(2x - 1)(x - 1)) = (x + 3)/(1 - x).
2x2 + 5x – 3 = 2(x – 1/2)(x + 3) = (2x – 1)(x + 3).
D = 52 – 4 • 2 • (–3) = 25 + 24 = 49.
x1 = (-5 - √49)/(2 • 2) = (-5 - 7)/4 = (-12)/4 = –3;
x2 = (-5 + 7)/4 = 2/4 = 1/2.
3x – 2x2 – 1 = 0;
–2x2 + 3x – 1 = –2(x – 1/2)(x – 1) = –(2x – 1)(x – 1);
D = 32 – 4 • (–2) • (–1) = 9 – 8 = 1.
x1 = (-3 - √1)/(2 • (-2)) = (-3 - 1)/(-4) = (-4)/(-4) = 1.
x2 = (-3 + 1)/(-4) = (-2)/(-4) = 1/2.
2x2 + 5x – 3 = 2(x – 1/2)(x + 3) = (2x – 1)(x + 3).
D = 52 – 4 • 2 • (–3) = 25 + 24 = 49.
x1 = (-5 - √49)/(2 • 2) = (-5 - 7)/4 = (-12)/4 = –3;
x2 = (-5 + 7)/4 = 2/4 = 1/2.
3x – 2x2 – 1 = 0;
–2x2 + 3x – 1 = –2(x – 1/2)(x – 1) = –(2x – 1)(x – 1);
D = 32 – 4 • (–2) • (–1) = 9 – 8 = 1.
x1 = (-3 - √1)/(2 • (-2)) = (-3 - 1)/(-4) = (-4)/(-4) = 1.
x2 = (-3 + 1)/(-4) = (-2)/(-4) = 1/2.