<span>у+х-4=0,
y=-x+4;
</span><span>2х-4у+8=0,
</span>-4y=-2x-8,
y=0,5x+2.
Sin( (5/6)*(π(6x+1)) =cos((1/3)*(π(3x+2)) ; x∈(0; 1/2).
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sin( π*( (5/6)*6x +(5/6)*1) ) =cos( π*((1/3)*3x+(1/3)*2) ) ;
sin( π(5x +5/6)) =cos( π(x+ 2/3) ) ;
sin( π(5x +5/6)) =sin( π/2- π(x+ 2/3) ) ;
sin( π(5x +5/6)) = sin( π(1/2- x- 2/3) <span>) ;
</span>sin( π(5x +5/6)) = sin(- π(x+1/6) ) ;
sin( π(5x +5/6)) + sin( π(x +1/6) <span>) =0 ;
</span>2sin( π(3x +1/2))*cos( π<span>(2x+1/3)) =0 ;
[ </span>sin π(3x +1/2)) =0 ; cos( π<span>(2x+1/3) )=0 </span> .
а)
π(3x +1/2) =πn ,n∈Z.
3x +1/2 = n ⇒x = -1/6 +n/3 ,если n =1⇒ x =1/6 ∈ (0; 1/2) .
<span>* * * 0< -1/6 +n/3 < 1/2</span>⇔ 1/6<n/3< 1/6+1/2 ⇔1/2<n<2 ⇒n=1* * *
б)
π(2x+1/3) = π/2 +πn ,n∈Z.
2x+1/3 = 1/2 +n ⇒ x =1/12+ n/2,если n =0⇒ x =1/12 <span>∈ (0; 1/2)</span>.
* * * 0< 1/12 +n/2 < 1/2⇔ - 1/12 <n/2< -1/12+1/2 ⇔-1/6<n<5/6 ⇒n=0* * *
<span>
сумма корней будет: (1/6 +1/12) =1/4.
ответ : </span>1/4 .
1/10+2,5=0,1+2,5=2,6
7 3/100-2,15=7,03-2,15=4,88
4,12-1 1/5=4,12-1,2=2,92
9,1+3 1/2=9,1+3,5=12,6
17,3-9 1/4=17,3-9,25=8,05
<span>6,09+2 1/25=6,09+2,04=8,13</span>
C²-a²+2ab-b² = c² - (a²-2ab+b²) = c² - (a-b)² = (c-a+b)(c+a-b)