11)(y-3)²-4(y-3)=(y-3)(y-3-4)=(y-3)(y-7)
12)(x+2)(3y-1)-(x=2)(2y-7)=(x+2)(3y-1-2y+7)=(x+2)(y+6)
13)x²-100=(x-10)(x+10)
14)36-81b²=(6-9b)(6+9b)=9(2-3b)(2+3b)
15)9x²-64y²=(3x-8y)(3x+8y)
16)0,09a²-1,44b²=(0,3a-1,b)(0,3a+1,2b)
17)x^4y²-9/16=(x²y-3/4)(x²y+3/4)
Решение
8sin⁴<span>x + 10sin</span>²<span>x - 3 = 0
</span>sin²x = t, t ≥ 0
8t² + 10t - 3 = 0
D = 100 + 4*8*3 = 196
t₁ = (- 10 - 14)/16
t₁ = - 24/16
t₁ = - 1,5, не удовлетворяет условию t ≥ 0
t₂ = (- 10 + 14)/16
t₂ = 4/16
t₂ = 1/4
sin²x = 1/4
sinx = - 1/2
sinx = 1/2
1) sinx = - 1/2
x = (-1)^n*arcsin(-1/2) + πn, n∈Z
x = (-1)^(n+1)*arcsin(1/2) + πn, n∈Z
x = (-1)^(n+1)*arcsin(1/2) + πn, n∈Z
x = (-1)^(n+1)*(π/6) + πn, n∈Z
2) sinx = 1/2
x = (-1)^k*arcsin(1/2) + πk, n∈Z
x = (-1)^k*(π/6) + πk, k∈Z
Объяснение:
3×10^-1+1×10^-2+5×10^-4=3×1/10+
1/100+5×1/10000=3/10+1/100+5/10000=3000/10000+100/10000+5/10000=3105/10000=0.3105
Ответ:0.3105
Ну давай попробуем решить.
<span>16^11-2^39 = 2^44-2^39 = 2^39(2^5-1) = 2^39*31</span>