Forwarded from Deleted Account
Xยฒ+7x+1=0
X=-7ยฑโ49-4/(2)=-7ยฑโ45/(2)
X=-7ยฑ3โ5/(2)
Xยฒ+7x-1/(x+7)
-2/(x+7)
-2/(-7ยฑ3โ5/(2)+7)
-4/(-7ยฑ3โ5+14)
-4/(7ยฑ3โ5)
Multiply with conjugate
-4/(7-3โ5)}*(7+3โ5)/(7+3โ5)
-7-3โ5
Or
-4/(7+3โ5)}*(7-3โ5)/(7-3โ5)
-7+3โ5
B
X=-7ยฑโ49-4/(2)=-7ยฑโ45/(2)
X=-7ยฑ3โ5/(2)
Xยฒ+7x-1/(x+7)
-2/(x+7)
-2/(-7ยฑ3โ5/(2)+7)
-4/(-7ยฑ3โ5+14)
-4/(7ยฑ3โ5)
Multiply with conjugate
-4/(7-3โ5)}*(7+3โ5)/(7+3โ5)
-7-3โ5
Or
-4/(7+3โ5)}*(7-3โ5)/(7-3โ5)
-7+3โ5
B
Forwarded from Deleted Account
a^1/3=x, b^1/3=y, c^1/3=z
x+y+z=0
x+y=-z
(x+y)^3=(-z)^3
x^3+3xy(x+y)+y^3+z^3=0
x^3+y^3+z^3=3xyz
(a+b+c)^6=(3xyz)^6=729(abc)^2
B
x+y+z=0
x+y=-z
(x+y)^3=(-z)^3
x^3+3xy(x+y)+y^3+z^3=0
x^3+y^3+z^3=3xyz
(a+b+c)^6=(3xyz)^6=729(abc)^2
B
Forwarded from Quant-Entelechy(The ELITES) (Beingbanna)
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Forwarded from Deleted Account
x+y+z=1
(x+y+z)^2=1^2
x^2+y^2+z^2+2(xy+yz+xz)=1
xy+yz+xz=-1/2
(x+y+z)(x^2+y^2+z^2)=1โข2
x^3+y^3+z^3+xy(x+y)+xz(x+z)+zy(y+z)
=2
xy(1-z)+xz(1-y)+zy(1-x)=2-3=-1
3xyz=xy+xz+zy+1=1/2
xyz=1/6
1/x+1/y+1/z=(yz+zx+xy)/(xyz)=
-1/2:1/6=-3
(x+y+z)^2=1^2
x^2+y^2+z^2+2(xy+yz+xz)=1
xy+yz+xz=-1/2
(x+y+z)(x^2+y^2+z^2)=1โข2
x^3+y^3+z^3+xy(x+y)+xz(x+z)+zy(y+z)
=2
xy(1-z)+xz(1-y)+zy(1-x)=2-3=-1
3xyz=xy+xz+zy+1=1/2
xyz=1/6
1/x+1/y+1/z=(yz+zx+xy)/(xyz)=
-1/2:1/6=-3
Forwarded from C
5yยฒ == unit digit either 0 or 5
So unit digit of xยฒ == either 2 or 7
No perfect square has unit digit as 2 or 7
So unit digit of xยฒ == either 2 or 7
No perfect square has unit digit as 2 or 7
Forwarded from ๏ธ โ๏ธotivation for life $ study ๏ธ (Aarav)
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Forwarded from Deleted Account
2x+3y-11=0
2x-4y+24=0
Y1=5
X1=-2
X-2y+12=0
Intersect at X axis
Means Y2=0
If Y2=0
X2=-12
So, ans is -2+12+5+0=+15
2x-4y+24=0
Y1=5
X1=-2
X-2y+12=0
Intersect at X axis
Means Y2=0
If Y2=0
X2=-12
So, ans is -2+12+5+0=+15