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shabburova
@shabburova
July 2022
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Укажите количество корней уравнения (2х+1)²-2х-5=0 .
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r0nna
(2х+1)²-2х-5 = 0
4х²+4х+1-2х-5 = 0
4х²+2х-4 = 0 | : 2 (делим все выражение на 2)
2х²+х-2 = 0
D = 1² - 4*2*(-2) = 1 + 16 = 17, 17>0 =>
D>0 => х1≠х2 => уравнение имеет 2 корня
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shabburova
большое спасибо :)
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Answers & Comments
4х²+4х+1-2х-5 = 0
4х²+2х-4 = 0 | : 2 (делим все выражение на 2)
2х²+х-2 = 0
D = 1² - 4*2*(-2) = 1 + 16 = 17, 17>0 =>
D>0 => х1≠х2 => уравнение имеет 2 корня