(x-y)²=x²-2xy+y²
(3a+8b)²=9a²+48ab+64b²
(4a²-5b³)²=16a^4-40a²b³+25b^6
(n-m)(n+m)=n²-m²
(5x+7y)(5x-7y)=25x²-49y²
(3a²-2b²)(3a²+2b²)=9a^4-4b^4
(4x+3)²-24x=16x²+24x+9-24x=16x²+9
8у-7у+142=51
у=51-142
у=-91
6х+1-3+2х=14
8х=14-1+3
8х=16
х=16:8
х=2
18х-6х+4=-5х-3
18х-6х+5х=-4-3
17х=-7
х=-7/17
2х+6-3х-6=5-4х-4
2х-3х+4х=5-4-6+6
3х=1
х=1/3
7,2х-3-1,3х=5,9х-3
7,2х-1,3х-5,9х=3-3
0=0
<span>решите уравнение
1)2x²-13x+6=0
D=13²-4*2*6=169-48=121=11²
x₁=(13-11)/4=0.5
x₂=(13+11)/4=6
2)2x²-11x-21=0
D=11²+4*2*21=289=17²
x₁=(11-17)/4=-1.5
x₂=(11+17)/4=7
решите неравенства
<span>1)5x²+4x-9≤0</span>D=4²+4*5*9=196=14²
x₁=(-4+14)/10=1
x₂=(-4-14)/10=-1.8(x-1)(x+1.8)≤0
\\\\\\\\\\\\\\\\\\\\
_______-1.8_________1______________
+ - +
x∈[-1.8; 1]
</span><span><span>
2)3y²-7y-10>0
</span>D=7²+4*3*7=169=13²
y₁=(7-13)/6=-1
y₂=(7+13)/6=10/3
(y-10/3)(y+1)>0
\\\\\\\\\\\\\\\\\\\\ \\\\\\\\\\\\\\\\\\\\\\\\\\\
__________-1_____________10/3______________
+ - +
y∈(-∞; -1)∪(10/3; +∞)</span>