решите уравнение (4x-1)^2-(4x-1)-12=0. Created by aleksandragars. algebra-ru

решите уравнение (4x-1)^2-(4x-1)-12=0...

July 2022 2 9 Report

решите уравнение (4x-1)^2-(4x-1)-12=0

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(4x-1)^2-(4x-1)-12=0

16x^2-8x+1-4x+1-12=0

16x^2-12x-10=0

2(8x^2-6x-5)=0

2(8x^2+4x-10x-5)=0

2(4x*(2x+1)-5(2x+1))=0

2(4x-5)*(2x+1)=0

(4x-5)*(2x+1)=0

4x-5=0 x1=5/4

2x+1=0 x2=-(1/2)

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mmb1

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(4x-1)^2-(4x-1)-12=0
4x-1=t
t²-t-12=0
D=1+48=49
t₁₂=(1+-7)/2= 4 -3
t₁=4 4x-1=4 4x=5 x=5/4
t₂=-3 4x-1=-3 4x=-2 x=-1/2

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