Показательное уравнение. [tex] 8* 7^{ x^{2} -5x+7}-7 * 8^{ x^{2- 5x+7}=0[/tex]. Created by Yana4660. algebra-ru

делим на x²-5x+7=1x²-5x+6=0D=5²-4*6=1x₁=(5-1)/2=2 x₂=(5+1)/2=3

tex]...

Yana4660 @Yana4660

July 2022 1 3 Report

Показательное уравнение.
[tex] 8* 7^{ x^{2} -5x+7}-7 * 8^{ x^{2- 5x+7}=0[/tex]

Answers & Comments

kmike21

Verified answer

$8* 7^{x^2-5x+7}-7*8^{x^2-5x+7}=0$
делим на $8^{x^2-5x+7}$
$8* \frac{7^{x^2-5x+7}}{8^{x^2-5x+7}} -7=0$
$(\frac{7}{8})^{x^2-5x+7} = \frac{7}{8}$
x²-5x+7=1
x²-5x+6=0
D=5²-4*6=1
x₁=(5-1)/2=2 x₂=(5+1)/2=3

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