<span>(с-2)(с+3)+с²=с²+3с-2с-6+с²=</span><span>2с²+с-6
D=1+4*2*6=1+48=49
√D=7
c₁=(-1-7)/4=-2
</span><span>c₂=(-1+7)/4=3/2
</span>2с²+с-6=2(c+2)(c-3/2)=<span>(c+2)(2c-3)</span>
10ˣ=0,001
10ˣ=10⁻³
х=-3
4ˣ⁻¹+4ˣ+4ˣ⁺¹=84
4ˣ⁻¹+4*4ˣ⁻¹+4²*4ˣ⁻¹=84
4ˣ⁻¹(1+4+16)=84
21*4ˣ⁻¹=84
4ˣ⁻¹=4
х-1=1
х=2
0,2³ˣ⁻⁴>1
0,2³ˣ⁻⁴>0,2⁰
3х-4 <0
3х <4
х <4/3
х <1 1/3
2ˣ⁺²=√0,5
2ˣ⁺²=√(1/2)
x+2=-1/2
x=-2,5
3*2ˣ⁺⁵-7*2ˣ⁺²=272
3*2³*2ˣ⁺²-7*2ˣ⁺²=272
2ˣ⁺²(3*8-7)=272
17*2ˣ⁺²=272
2ˣ⁺²=16
2ˣ⁺²=2⁴
x+2=4
x=2
2⁵⁻⁶ˣ>1/8
2⁵⁻⁶ˣ>2⁻³
5-6x>-3
-6x>-8
x <8/6
x <4/3
x <1 1/3
4=4ˣ
x=1
2ˣ⁺¹+2ˣ⁻²-2ˣ⁻³+2ˣ⁻⁴=70
2⁵*2ˣ⁻⁴+2²*2ˣ⁻⁴-2*2ˣ⁻⁴+2ˣ⁻⁴=70
2ˣ⁻⁴(32+4-2+1)=70
35*2ˣ⁻⁴=70
2ˣ⁻⁴=2
x-4=1
x=5
2ˣ+2ˣ⁻¹+2ˣ⁻²-56>0
2²*2ˣ⁻²+2*2ˣ⁻²+2ˣ⁻²>56
2ˣ⁻²(4+2+1)>56
7*2ˣ⁻²>56
2ˣ⁻²>8
2ˣ⁻²>2³
x-2>3
x>5