1) 5^(x^2-7x+16)=625 2) ^3√5^x=√5^(3x+2) 3) 5^(2x^2+x-2)=5*^4√((1/25)*5^2x) - вопрос №6033469152716625235532352225412552 от Ganster1234567 16.11.2022 14:22

Question

Алгебра: 1) 5^(x^2-7x+16)=625 2) ^3√5^x=√5^(3x+2) 3) 5^(2x^2+x-2)=5*^4√((1/25)*5^2x)

Ganster1234567 · Answer

15^(x²-7x+16)=5^4x²-7x+16=4x²-7x+12=0x1+x2=7 U x1*x2=12⇒x1=3 U x2=425^(x/3)=5^[(3x+2)/2]x/3=(3x+2)/22x=9x+69x-2x=-67x=-6x=-6/735^(2x²+x-2)=5^(1-0,5+2x)2x²+x-2=0,5+2x2x²-x-2,5=0D=1+20=21x1=(1-√21)/4x2=(1+√21)/4...