(-2)⁵x³ = -32x³
=============
2 вариант.
1) а) 9х^2+21х–9х^2–6х–1=15х–1
б) 12b^2+24b–9b^2+25=3b^2+24b+
+25
2) a) y^2+3y–2y–6–y^2+2y–1=3y–7
б) с^2–с–5с+5–с^2+12с–36=6с–31
3) а) (р+1–р–2)(р+1+р+2)=–1(2р+3)=
=–2р–3
б) у^2–8у+16–16+у^2=2у^2–8у
4) а) 4(а^2+10а+25)–4а^2–40а=
=4а^2+40а+100–4а^2–40а=100
б) 4ab–b^2+2(a^2–2ab+b^2)=4ab–
–b^2+2a^2–4ab+2b^2=b^2+2a^2
1 вариант.
1) а) а^2–16–6а+2а^2=3а^2–6а–16
б) 16х^2–24х+9–24х+6х^2=22х^2–
–48х+9
2) а) а^2–7а–8а+56–а^2–18а+81=
=137–33а
б) р^2–11р+3р–33+р^2+12р+36=
=2р^2+4р+3
3) а) b^2–9+4b^2+12b+9=5b^2+12b
б) а^2–2ах+х^2+а^2+2ах+х^2=
=2а^2+2х^2
4) а) 3(х^2–10х+25)+10х–8х^2=3х^2
–30х+75+10х–8х^2=–5х^2+20х+75
б) 2(х^2+12х+36)–20х–70=2х^2+24х
+72–20х–70=2х^2+4х+2
(х+6)²=(15-х)²
х²+2×6×х+6²=15²-2×15×х+х²
х²+12х+36=225-30х+х²
х²-х²+12х+30х=-36+225
42х=189
<span>х=4,5
</span>Ответ: <span>х=4,5</span>
F`(x)=(x³-1,5x²-6x+1)`=0
3x²-3x-6=0
x²-x-2=0 D=9
x₁=2 x₂=-1
y(2)=2³-1,5*2²-6*2+1=8-6-12+1=-9=ymin
y(-1)=(-1)³-1,5*(-1)²-6*(-1)+1=-1-1,5+6+1=4,5
y(1)=1³-1/5*1²-6*1+1=1-1/5-6+1=5,5=ymax
y(3)=3³-1,5*3²-6*3+1=27-13,5-18+1=-3,5.
X²-5x=0
x(x-5)=0
x=0, x=5
x²+7x+12=0
D=7²-4*12=49-48=1
x=(-7+1)/2=-6/2=-3
x=(-7-1)/2=-8/2=-4
(x²+9)/x=2x
x≠0
x²+9=2x²
2x²-x²-9=0
x²-9=0
(x-3)(x+3)=0
x=-3, x=3