(3a-4b+8)/(4a-3b+8)=9 33a-23b+71=?
3a-4a+8=36a-27b+72
33a-23b+64=0
33a-23+71=(33a-23b+64)+7=0+7=7.
<h3>sin4x + sin2x = 0</h3>
sin2x = 2•sinx•cosx - синус двойного аргумента
<h3>2•sin2x•cos2x + sin2x = 0</h3><h3>sin2x•(2cos2x + 1) = 0</h3><h3>1) sin2x = 0 ⇔ 2x = πn ⇔ x = πn/2, n ∈ Z</h3><h3>2) 2cos2x + 1 = 0 ⇔ cos2x = - 1/2 ⇔ 2x = (± 2π/3) + 2πk ⇔ x = (± π/3) + πk, k ∈ Z</h3><h3><em><u>ОТВЕТ: πn/2, n ∈ Z ; (± π/3) + πk, k ∈ Z</u></em></h3><h3><em><u /></em></h3>