(4х-3у)(2у+х)=8ху+4х^2-6ху-3ху=4х^2-ху
Примечание: 4х^2(4х в квадрате).
1. ...=6x^2-2x+5+10x-5x^2=x^2+8x+5
2. ...=6xy+8y-2xy-8y+1=4xy+1
3. ...=6x^3+10x^2y-2xy^2
4. ...=6a-a^2-6+a
5. 24-10x-8=6
-10x=-10
x=1
6. 10x=1460
x=146
7. ...=2b(a-2.5)
8. ...=3a^2(1-2a+6a^2)
9. ...=(b+c)(a-4)
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Что за Фото
log₃(5 - 2x) - log₃(25 - x) > log₃(x + 5) - 2.
ОДЗ:
5 - 2x > 0 x < 2,5 x ∈ (-5; 2,5)
25 - x > 0 x < 25
x + 5 > 0 x > -5
log₃(5 - 2x) + 2> log₃(25 - x) + log₃(x + 5);
log₃(5 - 2x) + log₃9> log₃(25 - x) + log₃(x + 5);
log₃9(5 - 2x) > log₃((25 - x)(x + 5));
9(5 - 2x) > (25 - x)(x + 5)
45 - 18x > 25x + 125 - x² - 5x;
x² - 20x - 18x - 125+45 > 0;
x² - 38x - 80 > 0;
x² - 38x - 80 = 0;
x₁ = 40; x₂ = -2
++++ ------
---------- -5 --------- -2 ---------- -2,5 -------------------->
Ответ: (-5; -2).
3y-2x=69=> 1.5y-x=34.5
4.5x+2y=536=> x+(2/4.5)y=536/4.5
1.5y-x+x+(2/4.5)y=34.5+536/4.5
(27/18)y + (8/18)y = (621+2144)/18
(35/18)y=2765/18
y= 2765/35
y=79
3*79-2x=69
x=(237-69)/2
x=84