Y=1/(-x²+ax-3) V(4:1/11)
1/(-16+4a-3)=1/11
4a-19=11
4a=11+19=30
a=30:4=7,5
y=1/(-x²+7,5x-3)
y`=-(-2x+7,5)/(-x²+7,5x-3)²=0
-2x=-7,5
x=7,5/2=3,75
y(3,75)=1:(-121/16+165/8-3)=1:(161/16)=16/161
<span>(3+5х)`2-6(5х+2)=9+30x+25x</span>²-30x-12=25x²-3
1)x/(a+b) = a/(a^2-b^2)
x/(a+b) = a/(a-b)(a+b)
x*(a-b) = a
x=a/(a-b)
2)(a^2 - b^2)/x = (a^2 - 2ab +b^2)/b
x = (a^2 - b^2):(a^2 - 2ab +b^2)/b
x = (a^2 - b^2)*b/(a^2 - 2ab +b^2)
x = (a-b)(a+b)b/(a-b)^2 = (a+b)b/(a-b) = (ab+b^2)(a-b)
3) (a^4-a)/(2a^2-2a) = (a^2+a+1)/x
a(a^3-1)/2a(a-1) = (a^2+a+1)/x
x = (a^2+a+1) : a(a^3-1)/2a(a-1) =
= (a^2+a+1) * 2a(a-1)/ a(a^3-1) =
= 2(a^3+a^2+a-a^2-a-1)/(a^3-1) = 2(a^3-1)/(a^3-1) = 2
x=2