Y=(x-1)*[x²(x+1)+(x+1)]-x(x³-8)=(x-1)(x+1)(x²+1)-x^4+8x=
=(x²-1)(x²+1)-x^4+8x=x^4-1-x^4+8x=8x-1
y=8x-1 линейная функция
12x² - 4x + 18x – 6 = 0
12х² + 14х - 6 = 0
2 (6х² + 7х -3) =0
6х² + 7х -3 =0
D=7²-4*6*(-3) = 121
x = -7 + √121 / 12 = 1/3
х = -7 - √121 / 12 = - 3/2
Ответ: х₁ = -3/2; х₂ = 1/3
А)<span><span>(<span><span>x2</span>+x</span>)</span><span>(<span>49−<span>x2</span></span>)</span>=</span>Раскрытие скобок:<span><span>x2</span>49+<span>x4</span><span>(<span>−1</span>)</span>+x49+<span>x3</span><span>(<span>−1</span>)</span>=</span><span>49<span>x2</span>−<span>x4</span>+49x−<span>x3</span>=</span><span>−<span>x4</span>−<span>x3</span>+49<span>x2</span>+49x</span>Ответ: <span>−<span>x4</span>−<span>x3</span>+49<span>x2</span>+49x
В)</span><span><span>(<span><span>x2</span>−7</span>)</span><span>(<span><span>x2</span>+18</span>)</span>=</span>Раскрытие скобок:<span><span>x4</span>+<span>x2</span>18−7<span>x2</span>−126=</span><span><span>x4</span>+11<span>x2</span>−126</span>Ответ: <span><span>x4</span>+11<span>x2</span>−126
Д)</span><span><span>(<span><span>x2</span>−3<span>x2</span></span>)</span><span>(<span><span>x2</span>+7</span>)</span>=</span>Приведение подобных:<span><span>(<span>−2<span>x2</span></span>)</span><span>(<span><span>x2</span>+7</span>)</span>=</span>Раскрытие скобок:<span>−2<span>x4</span>−14<span>x2</span></span>Ответ: <span><span>−2<span>x4</span>−14<span>x2
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2^3x = 2^ (2\3), 3x=2\3, x= 2\9 принадлежит промежутку рациональных чисел