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y=2x+1 toʻgʻri chiziqning
x² + y² - 2x + 2y + 1=0 aylanaga eng yaqin nuqtasi absissasini toping.
(x-1)²+(y+1)²=1 markazi (1;-1)
y=-0,5x+b
-1=-0,5+b b=-0,5
y=-0,5x-0,5 = y=2x+1
x=-3/5 y=-1/5
A(1;-1) B(-3/5; -1/5)
AB²=64/25+16/25=80/25
AB=_/80 :5=0,8_/5
a+b+c=0
a²+b²+c²+2(ab+bc+ac)=0
4+2(ab+bc+ac)=0
ab+bc+ac=-2
a²b²+b²c²+a²c²+2abc(a+b+c)=4
●a²b²+b²c²+a²c²=4
●a⁴+b⁴+c⁴=(a²+b²+c²)²-2(a²b²+b²c²+a²c²)=4²-2•4=8
@mathematica0606
(10x+y)² - (10y+x)²=1089
100x²+20xy+y²-100y²-20xy-x²=1089
99x²-99y²=1089
x²-y²=11
(x-y)(x+y)=11
x=6 y=5
x+y=11
@mathematica0606
a+b=x ; ab=y
ab³+a³b+a²+b²+5ab+2a²b²=
ab(a²+b²)+(a²+b²)+ab(5+2ab)= ab(a²+b²+2ab+5) +(a+b)²-2ab= ab((a+b)²+5)+(a+b)²-2ab=y(x²+5)+x²-2y= y(x²+3)+x²=x²y+3y+x²
