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macs525
@macs525
March 2022
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Решите уравнение. помогите пожалуйста решить номер 3 буквы ( а, б,) не как не могу. Заранее спасибо!!!
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parus77
Verified answer
(х-4)²-25=0
(х-4)²=25
(х-4)²=5² (х-4)²=(-5)²
х-4=5 х-4=-5
х=5+4 х=-5+4
х=9 х=-1
-------- ---------
(9-4)²-25=0 (-1-4)²-25=0
5²-25=0 (-5)²-25=0
25-25=0 25-25=0
(х+2)²-49=0
(х+2)²=49
(х+2)²=7² (х+2)²=(-7)²
х+2=7 х+2=-7
х=7-2 х=-7-2
х=5 х=-9
--------- -----------
(5+2)²-49=0 (-9+2)²-49=0
7²-49=0 (-7)²-49=0
49-49=0 49-49=0
1 votes
Thanks 1
Akimka
A) (х-4)²-25=0
х²-8х+16-25=0
х²-8х-9=0
D=64-4*(-9)=100
x1=(8-10)/2
x1=-1
x2=(8+10)/2
x2=9
b) (x+2)²-49=0
x²+4x+4-49=0
x²+4x-45=0
D=16 + 180 = 196
x1=(-4-14)/2
x1=-9
x2=(-4+14)/2
x2=5
1 votes
Thanks 0
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Answers & Comments
Verified answer
(х-4)²-25=0(х-4)²=25
(х-4)²=5² (х-4)²=(-5)²
х-4=5 х-4=-5
х=5+4 х=-5+4
х=9 х=-1
-------- ---------
(9-4)²-25=0 (-1-4)²-25=0
5²-25=0 (-5)²-25=0
25-25=0 25-25=0
(х+2)²-49=0
(х+2)²=49
(х+2)²=7² (х+2)²=(-7)²
х+2=7 х+2=-7
х=7-2 х=-7-2
х=5 х=-9
--------- -----------
(5+2)²-49=0 (-9+2)²-49=0
7²-49=0 (-7)²-49=0
49-49=0 49-49=0
х²-8х+16-25=0
х²-8х-9=0
D=64-4*(-9)=100
x1=(8-10)/2
x1=-1
x2=(8+10)/2
x2=9
b) (x+2)²-49=0
x²+4x+4-49=0
x²+4x-45=0
D=16 + 180 = 196
x1=(-4-14)/2
x1=-9
x2=(-4+14)/2
x2=5