0,5^(x+7+1-2x)=0,5^(-1); 0,5^(8-x)=0,5^(-1); 8-x= -1; -x= -1-8; -x= -9; x=(-9)/9-1)=9. Ответ: x=9.
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16-k²=(4-k)(4+k)
t²-225=(t-15)(t+15)
y²-16/81=(y-4/9)(y+4/9)
25/36-64y²=(5/6-8y)(5/6+8y)
(2 х)² - 2 * 2 х * 1\4 + 1\16 - 1\16 - 3 = 0
(2 х - 1\4)² - 49\16=0
(2 х - 1\4)² - ( 7\4)² = 0
(2 х - 1\4 - 7\4) ( 2 х - 1\4 +7\4) = 0
( 2 х - 2) (2 х +3\2 ) =0
2 х - 2 = 0 или 2 х + 3\2 = 0
2 х = 2 или 2 х = -3\2
х₁= 2 : 2 или х₂ =- 3\2 : 2
х₁ = 1 или х₂ = -3\4
<span>√108 =√4*27=√4*3*9=12√<span>3</span></span>