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vasilya1999
@vasilya1999
July 2022
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решите уравнение:
√x²+2x-8=2x-4
(x²+2x-8)-находиться по корнем
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GoodByee
Решение:
√х²+2х-8=2х-4
(√х²+2х-8)²=(2х-4)²
х²+2х-8=4х²-16х+16
х²+2х-8-4х²+16х-16=0
-3х²+18х-24=0
3x²-18x+24=0
D=b²-4ac=(-18)²-4*3*24=324-288=36=6²
x₁=
х₂=
3 votes
Thanks 2
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Answers & Comments
√х²+2х-8=2х-4
(√х²+2х-8)²=(2х-4)²
х²+2х-8=4х²-16х+16
х²+2х-8-4х²+16х-16=0
-3х²+18х-24=0
3x²-18x+24=0
D=b²-4ac=(-18)²-4*3*24=324-288=36=6²
x₁=
х₂=