64^x-8^x-56=0 помогите решить...

summer12345 @summer12345

July 2022 1 9 Report

64^x-8^x-56=0 помогите решить

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ShirokovP

Verified answer

8^2x - 8^x - 56= 0;
8^x=t

t^2 - t - 56 = 0;
D = 1 + 4*56 = 225=15^2
t1= = ( 1 + 15)/2 = 8;
t2 = ( 1 - 15)/2 = - 7

8^x=8
x=1;

8^x = - 7
нет реш

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