Розв’яжіть рівняння з поясненням:
1) 10х-47-2х=15
2) (3-4х)х=12-4х2
3) х 2+4х-32=0
4) 2х4 -5х2+2=0
5) 2х−4 2−4 = х+5 х−2
1) 10х-47-2х=15
2) (3-4х)х=12-4х2
3) х 2+4х-32=0
4) 2х4 -5х2+2=0
5) 2х−4 2−4 = х+5 х−2
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Verified answer
1) 10х - 2х = 47 + 158х = 72
х = 9
2) (3-4х)х = 12 - 4х2
3х - 4х2 = 12 - 4х2
3х - 4х2 + 4х2 = 12
3х = 12
х = 4
3) х2 + 4х - 32 = 0
Д = 4*4 + 4*32 = 16 + 128 = 144
х = (-4 + 12)/2 = 4
х = (-4 - 12)/2 = -8
4) 2х4 - 5х2 + 2 = 0
Д = 5*5 - 4*2*2 = 25 - 16 = 9
х2 = (5 + 3)/2 = 4
х2 = (5 - 3)/2 = 1
х = {-2; -1; 1; 2}