7¹⁴*(7²)³= 7¹⁴*7⁶= 7¹⁴⁺⁶=7²⁰
(7³)⁶*7²= 7³*⁶*7²=7¹⁸*7²= 7²⁰
В
x²+4x-77=0
x1+x2=-4 U x1*x2=-77⇒x1=-11 U x2=7
x²+13x+22=0
x1+x2=-13 U x1*x2=22⇒x1=-11 U x2=-2
(x-7)(x+11)/4(x+1)*2(x+1)/(x+11)(x+2)=(x-7)/2(x+2)
г
x²-6x-72=0
x1+x2=6 U x1*x2=-72⇒x1=-6 U x2=12
x²+3x-18=0
x1+x2=-3 U x1*x2=-18⇒x1=-6 U x2=3
x/(x-12)(x+6)+3/(x+6)(x-3)=(x²-3x+3x-36)/(x+6)(x-12)(x-3)=
=(x-6)(x+6)/(x-12)(x+6)(x-3)=(x-6)/(x-12)(x-3)
<span>{x²+y²-xy =16; x+y = -2 ⇔{(x+y)² -3xy =16 ; x+y = -2⇔{ (-2)² -3xy =16 ;
x+y =-2.<span>
{4 -3xy
=16 ;x+y = - 2 ⇔{x+y =-2 ; xy
= - 4.</span><span>
t² +2t -4
=0 ;
t ₁= -1-√5 ;</span><span>
t₂ =-1+√5.</span><span>
(x₁ = -1-√5 ; y₁ =- 1+√5 )</span><span>
(x₂= -1+√5 ; y₂=-1-√5)</span><span>
</span>ответ: { (-1-√5
; -1+√5) , (-1+√5 ; -1-√5) }<span>
****************************************
</span>можно было сразу поставить <span> y = -2 -x из второго уравнения в первое<span> :</span></span><span>
x²
+ -x-2) )² -x(-x-2) =16;
x²
+4+4x+x² +2x +x² =16 ;
3x² +
6x -12=0 ;
x²+2x -4
= 0.
</span><span>x₁ = -1-√5 ;</span><span>
x₂<span> = -1+√5.</span></span></span>
15а/20b=3а/4b
6xy/8x=3y/4
8bx/16by=x/2y