Question

Решить показательное неравенство

Answer 1

2 ^ ( х^2 + Х - 6 ) - 2 ^ ( х^2 + Х - 9 ) = 56
2 ^ ( х^2 + Х - 6 ) •( 1 - 2 ^ ( - 3 )) = 56
2 ^ ( х^2 + Х - 6 )•( 1 - ( 1/8 )) = 56
2 ^ ( х^2 + Х - 6 ) = 56 : ( 7/8 )
2 ^ ( х^2 + Х - 6 ) = 64
2 ^ ( х^2 + Х - 6 ) = 2 ^ 6
Х^2 + Х - 6 = 6
Х^2 + Х - 12 = 0
D = 1 + 48 = 49 = 7 ^2
X1 = ( - 1 + 7 ) : 2 = 3
X2 = ( - 1 - 7 ) : 2 = - 4