2(1-x)-4(2x-3)≤1
2-2x-8x+12≤1
-10x≤-13
x≥1.3 знак неравенства поменяли . так как делили на отрицательное число
х∈[1.3 ; ∞)
1) 8<span>¹⁶ / 16¹² = 2⁴⁸ / 2⁴⁸ = 1 </span>
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<span>2) (15<span>а²</span><span>- 10ab)/(<span><span>3ab-2b²) = 5а(3а - 2<span><span>b</span></span>)/(<span><span>b</span></span>·<span><span><span><span>(3а - 2<span><span>b</span></span>)</span></span></span></span>) = 5а/<span><span><span><span><span><span>b</span></span></span></span></span></span></span></span></span></span>
При а= -2,b= -0,1
<span><span><span><span>5а/<span><span><span><span><span><span>b</span></span></span></span></span></span></span></span></span></span> = 5·(-2)/(-0,1) = -10/(-0,1) = 100
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√3sin²x-0,5sin2x=0
√3sin²x-sinxcosx=0
sinx(√3sinx-cosx)=0
sinx=0⇒x=πn,n∈z
√3sinx-cosx=0
2(√3/2sinx-1/2cosx)=0
2sin(x-π/6)=0
x-π/6=πk
x=π/6+πk,k∈z