<span>5sin^2x+4sin(п/2+x)=4
</span><span>5sin^2x + 4cosx = 4
5*(1 - cos^2x) + 4cosx - 4 = 0
</span>5 - 5cos^2x + 4cosx - 4 = 0
5cos^2x - 4cosx - 1 =
D = 16 + 4*5*1 = 36
<span>cosx = (4 -6)/10
cosx = - (1/5)
x1 = (+ -)arccos(-1/5) + 2</span>πk, k∈Z
<span>cosx = (4 + 6)/10
cosx = 1
x2 = 2</span>πn, n∈Z<span>
</span>
Ответ: 12, 14, 15, 16, 18, 20, 21, 22.
Объяснение:
<u>x^3-3x^2-x+3=0</u>
<u>x(x^2-1)-3(x^2-1)=0</u>
<u>(x-3)(x^2-1)=0</u>
<span><u>x=3; 1; -1</u></span>