2) (√12 - √75) √3 = √(12*3) - √(75*3) = √36 - √(25*3*3)= 6 - √25 * √9 =
= 6 -5*3 = 6-15 = -9
Вроде так:45(b-2)+3a(2-b)
1. sin2x= 1/2
2x = (-1)^k+1*arcsin 1/2 + π*n
2x = (-1)^k+1*π/6 + π*n
x = (-1)^k+1*π/12 + π/2*n
Ответ: <span>(-1)^k+1*π/12 + π/2*n
2. log2(3+x)=7
</span><span>log2(3+x)=2^7
</span><span> 3+x=128
x=125
3. </span>√(63-6x)=3
√(63-6x)²=3²
<span>63-6x=9
6x=54
x=9
4. 3^x+9= 1/9
</span><span>3^x+9= 3^-2
x+9=-2
x= -11</span>
x²-5x-50<0
x²-5-50=0 D=225 √D=15
x₁=10 x₂=-5 ⇒
(x-10)(x+5)<0
-∞_____+_____-5_____-_____10_____+_____+∞
Ответ: x∈(-5;10).
25a²-c²=(5a-c)(5a+c)- формула разность квадратов