<span>8xy(3x+0,5y–xy) = </span>24x^2y+4xy^2 - 8x^2y^2
2sin2x - 2cosx = 5/2
2(1-cos2x) - 2cosx -5/2 = 0
2 -2cos2x -2cosx -5/2 =0
2cos2x + 2c0sx +0,5 = 0
Замена cosx=b |b|≤ 1
2b2 +2b+0,5=0
b2+b+0,25=0 (b+0,5)2=0
b=-0,5
cosx=-0,5 x=±(П-П/3) + 2Пk, k - целое
x=±2П/3 + 2Пk, k - целое
5sin5x=5
sin5x=1
5x=π/2+2*π*n,
x=π/10+(2/5)*π*n
<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>