Автор - Хинати

4х^4-37х^2+9=0
помогите :)

Ответ

Автор - rasimagaliullov
4 x^4-37 x^{2} +9=0
 x^{2} =t
 4t^{2} -37t+9=0
a=4  b=-37   c=9
D=b²-4ac=37²-4*4*9=1225=35²
t1= frac{-b+ sqrt{D} }{2a} = frac{37+35}{8} = frac{72}{8} =9
t2= frac{-b- sqrt{D} }{2a} = frac{37-35}{8}= frac{2}{8} = frac{1}{4}
x²=9                   x²=1/4
x=-3                  x=1/2
x=3                    x=-1/2

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