Сократите дробь 3x^2 - 10x + 3 / x^2 - 4x + 3. Created by cat56744. algebra-ru

x^2 - 4x + 3...

cat56744 @cat56744

June 2022 1 10 Report

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3x^2 - 10x + 3 / x^2 - 4x + 3

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mmb1

Verified answer

(3x^2 - 10x + 3) /( x^2 - 4x + 3) = (x-3)(3x-1) / (x-1)(x-3)= (3x-1)/(x-1)
1. 3x^2 - 10x + 3 = 3(x-3)(x-1/3)=(x-3)(3x-1)
D=10^2-4*3*3=100-36=84=8^2
x12=(10+-8)/6=3 1/3
2. x^2 - 4x + 3 = (x-1)(x-3)
D=16-4*3*1=4=2^2
x12=(4+-2)/2=1 3

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