= 15х⁶у¹⁰
!!!!!!!!!!!!!!!!!!!!!!
Х^2+2х-15=0
Д=4-4*1*15=4-60=64
х1=-2+8/2=3
х2=-2-8/2=-5
2.2-0.6х=8.8
-0.6х=8.8-2.2
-0.6х=6.6
-х=6.6:0.6
-х=11
х=-11
x²-6x-4*|x-3|-12≥0
1. x>3
x²-6x-4*(x-3)-12≥0
x²-6x-4x+12-12≥0
x²-10x≥0
x*(x-10)≥0
-∞__+__0__-__10__+__+∞ ⇒
x∈[10;+∞).
2. x<3
x²-6x-4*(-(x-3))-12≥0
x²-6x+4*(x-3)-12≥0
x²-6x+4x-12-12≥0
x²-2x-24≥0
x²-2x-24=0 D=100 √D=10
x₁=6 x₂=-4 ⇒
(x+4)(x-6)≥0
-∞__+__-4__-__6__+__+∞
x∈(-∞;-4].
3. x=3
3²-6*3-4*(3-3)-12=9-18-0-12=-21≤0 ⇒
x≠3.
Ответ: x∈(-∞;-4)U[10;+∞).
6(x^2 - 1) - 2x (x -1) = 0
6x^2 - 6 - 2x^2 + 2 = 0
4x^2 = 6 -2
4x^2 = 4
x^2 = 1
x1 = 1
<u>x2 = -1</u>
Ответ: х2 = - 1 наименьший корень уравнения.