А=-1
в=-7
с=8
Д=в*2-4ас=49-4*(-8)=49+32=81
х1=-в+Д/2=7+9/2=8
х2=7-9/2=-1
Log(270)350=log(3)(2*5²*7)/log(3)(3³*2*5)=
=[log(3)2+2log(3)5+log(3)7]/[3+log(3)2+log(3)5]=(a+2b+c)/(3+a+b)
log(490)1250=[log(3)(2*5^4)]/[log(3)(2*5*7²)]=
=[log(3)2+4log(3)5]/[log(3)2+log(3)5+2log(3)7]=(a+4b)/(a+b+2c)
log(280)105=[log(3)(3*5*7)]/[log(3)(2³*5*7)]=
=[(1+log(3)5+log(3)7]/[3log(3)2+log(3)5+log(3)7]=(1+b+c)/(3a+b+c)
log(90)315=[log(3)(3²*5*7)]/[log(3)(3²*2*5)]=
=[(2+log(3)5+log(3)7]/[(2+log(3)2+log(3)5]=(2+b+c)/(2+a+b)
Ответ:
x^2-18x+32 = 0
D = (-18)^2 - 4 · 1 · 32 = 196
х1 = (18 + √196) ÷ 2 = 16
х2 = (18 - √196) ÷ 2 = 2
Ответ: (х - 16) · (х - 2)