Chapter 6
This is the quotient: (25x^3-21x)-:(5x-1)
What is
5x^2+x-4-4/(5x-1)
This is the simplified version of ((27x^3)/(8))^(2/3)
What is
(9x^2)/4
This is the solution to m^2+m+8=0
What is
(-1+-isqrt(31))/2
This is the exact solution for x:
ln(2x-6)=1.08
What is
x=(e^1.08+6)/2
This is the center and radius for the conic:
x^2+y^2+4x+6y+12=0
What is C(-2, -3) and r = 1
This is the quotient of: (9x^3y^6+27xyz^2+x^2y^2z)-:9xy
What is
x^2y^5+3z^2+(xyz)/9
This is the simplified version of
((4^3x^(1/4)y^4)/x^(1/4))^(1/3)
What is
4y^(4/3)
This is x: x^5+5x^4=x+5
What is
5,+-1,+-i
This is the exact solution for x:
2^(2x+5)=10
What is (log_2(10)-5)/2
This is the identity of the conic:
3x^2+5y^2-12x+30y+42=0
What is an ellipse
P(-2) can be found by the Remainder Theorem: P(x)=x^5+7x^4-7x^3-4
What is
P(-2)=132
This is an equivalent expression with the denominator rationalized:
(sqrt(x)-7)/(sqrt(x)+7
What is
(x-14sqrt(x)+49)/(x-49)
This is x: (x+4)^2+10(x+4)+24=0
What is
{-8,-10}
This can be written as a single logarithm expression:
3log_9x-log_9(x+1)
What is
log_9(x^3/(x+1))
You can find the: Center, vertices, major and minor axes.
(x+2)^2/36+(y+3)^2/9=1
What is: C(-2,-3), Vertices:(4,-3),(-8,-3),Major axis:12 Minor axis: 6
This the the value of x:
6/(x+3)-1/(7x)=3/(7x^2+21x)
What is
x=6/41
This is the solution for x: sqrt(4x+3)+7=15
What is
61/4
This can be solved by completing the square:
x^2+16x=-51
What is
-8+-sqrt(13)
This can be written as a single logarithm:
log_5x^3(x+1)
What is
3log_5x+log_5(x+1)
You can find the Center and vertices of the conic
(x+4)^2/16-(y-4)^2/16=1
What is C(-4,4), Vertices:(0,4), (-8,4)
Suppose Q is jointly proportional to R and the square of S. If Q=36 when R=2 and S=3, this is Q when R=6 and S=2.
What is
Q=48
This can be written in the form a+bi
(3-4i)/(7+5i)
What is
1/74-43/74i
You must find: the vertex and all intercepts:
h(x)=2x^2-4x+3
What is : x-int: None, y-int: (0,3)
V:(1,1)
This is the simplified form of the complex fraction
(x/y^2+1/y)/(y/x^2+1/x)
What is
x^2/y^2
This is the equation of an ellipse with center(4,5), major vertical axis of 12 and horizontal minor axis of 10
What is
(x-4)^2/25+(y-5)^2/36=1