Solving Rational Equations
The solution(s) of the rational equation
1/(3)-2/(x^2)=(x+3)/(3x)
What is
x=-2?
This is the x-intercept of the rational function
f(x)=(x-8)/(5x+20)
What is
(8, 0)?
This English actress has had main roles in various films such as Pirates of the Caribbean, The Imitation Game, and Pride & Prejudice
Who is Keira Knightly?
The vertical asymptotes of the rational function
f(x)=(x-9)/(3x^2-48)
What are
x=4 and x=-4?
This is the simplified product of
(x^2+6x+9)/(x^2-16)*(x^2+9x+20)/(x^2-x-12)
What is
((x+5)(x+3))/(x-4)^2? or (x^2+8x+15)/(x^2-8x+16)?
The solution(s) of the rational equation
1/(2x^2)-3/(4x)=1/(4x^2)
What is
x = 1/3?
This is the horizontal asymptote of the rational function
f(x)=(10x^5-9x^2)/(19x-3)
What is DNE?
DAILY DOUBLE!
These two NFL teams have existed since the league's conception in 1920
Who are Arizona Cardinals and Chicago Bears?
The coordinates of the hole in the rational function
f(x)=(x+5)/(x^2+13x+40)
What is
(-5, 1/3)?
This is the simplified quotient of
(x^2+16x+60)/(2x^3-18x)div(3x^2-300)/(x^2+2x-15)
What is
((x+5)(x+6))/(6x(x+3)(x+10)) or (x^2+11x+30)/(6x^3+78x^2+180x)?
The extraneous solution(s) of the rational equation
x/(x+6)=72/(x^2-36)+4
What is
x=-6?
This is the horizontal asymptote of the rational function
f(x)=(4x^2+9x-10)/(-6x^3+18x)
What is
y=0?
This individual is a co-founder of Facebook who also invested in early stage startups such as Qwiki and Jumio
Who is Eduardo Saverin?
The vertical asymptotes of the rational function
f(x)=(x^2-9)/(x^3+10x^2-36x-360)
What is
x=-10, x=6, and x=-6?
This is the simplified difference of
(9x)/(x^2+2x+1)-(7)/(x+1)
What is
(2x-7)/(x+1)^2 or (2x-7)/(x^2+2x+1)?
The solution(s) of the rational equation
8/x=(x^2+14x+49)/(x^2-x)-1
What is
x=-57/7?
This is the horizontal asymptote of the rational function
f(x)=(15x-9)/(21x+4)
What is
y=5/7?
This female variant of Loki is one of the main characters of the titular Disney Plus series
Who is Sylvie?
The coordinates of the hole in the rational function
f(x)=(x^2-3x-54)/(x^2-14x+45)
What is
(9, 15/4)?
This is the simplified expression of
((x+1)/(x-1)-(x-1)/(x+2))/((15x+3)/(x^2-1))
What is
(x+1)/(3(x+2)) or (x+1)/(3x+6)?
The solution(s) of the rational equation
x/(2x-2)-2/(3x-3)=(5x^2-2x+9)/(12x^2-12)
What is
x=+-\sqrt(17)?
This is the y-intercept of the rational function
f(x)=(3(x-5)(x+4))/((x+6)(x-2))
What is
(0, 5)?
These are the first people to separate copper from its ore
What are the Ancient Egyptians?
The coordinates of the holes in the rational function
f(x)=((x^3-27)(x+11))/(x^2+8x-33)
What is
(3, 27) and (-11, 97)?
This is the simplified expression of
(4(x+1)^(-1)-8(x-7)^(-1))/(4(x-7)^(-1)+2(x+2)^(-1))
What is
(-2(x+2))/(3(x-4)) or (-2x-4)/(3x-12)?