Решите уравнения:
1) (2х-3)^3-4х(2х-9)=0
2) (1-2х)^3-12х^2+8х^3=0
3) (-х-1)^3+х^3+3х^2=0
4) (2х-1)^2=(2х+3)(2х-3)
1) (2х-3)^3-4х(2х-9)=0
2) (1-2х)^3-12х^2+8х^3=0
3) (-х-1)^3+х^3+3х^2=0
4) (2х-1)^2=(2х+3)(2х-3)
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Answers & Comments
-2х=-5-5
-2х=-10
х=-10:(-2)
х=5
2.) 6–5х=2х+5
-5х-2х=5-6
-7х=-1
х=-1:(-7)
х=1/7
3.) 2(х+1)=3
2х+2=3
2х=3-2
2х=1
х=1:2
х=0,5
4.) 5(х–2)=2х
5х-10=2х
5х-2х=10
3х=10
х=10:3
х=10/3 или 3 целых 1/3
5.) –5(3–х) =2х+7
-15+5х=2х+7
5х-2х=7+15
3х=22
х=22:3
х=22/3 или 7 целых и 1/3
6.) 9–2(3–4х) =–2х+1
9-6+8х=-2х+1
8х+2х=1-9+6
10х=-2
х=-2:10
х=-1/5
7.) 9+2(3–4х) =3х–3
9+6-8х=3х-3
-8х-3х=-3-9-6
-11х=-18
х=-18:(-11)
х=18/11 или 1 целая 7/11
8.) 9–2(3–4х) =2х+1
9-6+8х=2х+1
8х-2х=1-9+6
6х=-2
х=-2:6
х=-2/6=-1/3
9.) 3(10–7х) –х=–3
30-21х-х=-3
-22х=-3-30
-22х=-33
х=-33:(-22)
х=33/22=1,5
10.) –5(–9+3х) –5х=–10
45-15х-5х=-10
-20х=-10-45
-20х=-55
х=-55:(-20)
х=55/20=2,75