х-2/х+1+х+1/х-2=4,25
((х-2)*(х-2))/(х+1)+((х+1)(х+1))/(х-2)-(х-2)*(х+1)*4,25=0
((х-2)^2+(х+1)^2-4,25(х-2)(х+1))/(х+1)(х-2)=0
(х^2-4х+4+х^2+2х+1-4,25х^2-4,25х+8,5х+8,5)/(х+1)(х-2)=0
-2,25х^2+2,25х+13,5=0
х не должен равняться -1
х не должен равняться 2
-х^2+х+6=0
D=1+24=25
√D=5
х=(-1+5)/-2=-2
х=(-1-5)/+2=3
Ответ:-2;3
10^(lg2+lg3)=10^lg2*10^lg3=2*3=6
<span><span>(<span><span>a2</span>−<span>b2</span>+ab−2</span>)</span><span>(<span><span>a2</span>−<span>b2</span>−ab−2</span>)</span>−<span><span>(<span><span>a2</span>−<span>b2</span>−2</span>)</span>2</span>=</span>Возведение в степень:<span><span>(<span><span>a2</span>−<span>b2</span>+ab−2</span>)</span><span>(<span><span>a2</span>−<span>b2</span>−ab−2</span>)</span>−<span>(<span><span>a4</span>−2<span>a2</span><span>b2</span>−4<span>a2</span>+<span>b4</span>+4<span>b2</span>+4</span>)</span>=</span>Раскрытие скобок:<span><span><span>a4</span>+<span>a2</span><span>(<span>−1</span>)</span><span>b2</span>+<span>a3</span><span>(<span>−1</span>)</span>b+<span>a2</span><span>(<span>−2</span>)</span>−<span>b2</span><span>a2</span>+<span>b4</span>+<span>b3</span>a+2<span>b2</span>+<span>a3</span>b+a<span>b3</span><span>(<span>−1</span>)</span></span><span>+<span>a2</span><span>b2</span><span>(<span>−1</span>)</span>+ab<span>(<span>−2</span>)</span>−2<span>a2</span>+2<span>b2</span>+2ab+4−<span>a4</span>+2<span>a2</span><span>b2</span>+4<span>a2</span>−<span>b4</span>−4<span>b2</span>−4=</span></span><span><span>a2</span><span>(<span>−1</span>)</span><span>b2</span>−<span>b2</span><span>a2</span>+<span>b3</span>a+a<span>b3</span><span>(<span>−1</span>)</span>+<span>a2</span><span>b2</span>=</span><span>−<span>a2</span><span>b2</span>−<span>b2</span><span>a2</span>+<span>b3</span>a−a<span>b3</span>+<span>a2</span><span>b2</span>=</span>−a2b2
(корень2+4)^2 = 2+16+8корень2=18 + 8корень2
^ - возведение в степень