Powers of i
Simplify
3sqrt-20
6isqrt5
(-3+8i)-(-2-5i)
-1+13i
(6-5i)(4-i)
19-26i
Solve by Completing the Square
x^2-10x+34=0
x=5+-3i
Calculate the discriminant of the given equation and determine the nature of its roots.
3x^2+5x=-1
2 Real, Irrational Roots
What five-letter word becomes shorter when you add two letters to it?
Short
Simplify
i^43
-i
2(3+4i)-3i(1-2i)
5i
(4-3i)^2
7-24i
Solve using the Quadratic Formula
2x^2+5=6x
x=(3+-i)/2
Calculate the discriminant of the given equation and determine the nature of its roots.
6x^2+4x-35=x^2
Two real, irrational roots
A man pushes his car up to a hotel and immediately realizes he is bankrupt. What is he doing?
Playing Monopoly!
Evaluate
i^17+i^21-i^35
3i
Subtract 14-3i from the sum of 6+2i and -4-8i
-12-3i
4/(2-i)
8/5+(4i)/5
Solve by completing the square
x^2+13=-6x
x=-3+-2i
Calculate the discriminant of the given equation and determine the nature of its roots.
3x^2+11x+39=2x^2+3x-9
Two imaginary roots
Finish the Lyrics...
The snow ____ _____ on the mountain tonight, Not a __________ __ __ ____. A kingdom __ ____________, and __ ____ ____ __ ___ _____.
The snow glows white on the mountain tonight, Not a footprint to be seen. A kingdom of isolation, and it looks like I'm the queen.
Evaluate
(-3i)^3
27i
A rectangular plot of land has a length of 2x-3i and a width of x+5i. If x=8, find the exact perimeter of the rectangle in a+bi form.
48+4i
(2-4i)/(1+3i)
-1-i
Solve by using the Quadratic Formula
2x^2=4x-10
x=1+-2i
Find all values of k such that the given quadratic equation has exactly one real root.
x^2+kx+25=0
2 real solutions , k=10 and k=-10
Finish the lyrics.....
"You just gotta ______ ___ _____, and let it _____, Just own ___ _____, Like the ______ __ ____."
You just gotta ignite the light, and let it shine, Just own the night, Like the fourth of July
Simplify
(sqrt-72)/(sqrt-2)+i^2026
5
(4-sqrt-25)-(7+sqrt-9)+(-2-3i)
-5-11i
Find the area of a square garden that has a side length of
(2+5isqrt2)
-46+20isqrt2
Solve by Completing the Square
43=-10x-x^2
x=-5+-3isqrt2
Find the range of values for k that will cause the given equation to have two complex roots.
x^2-4x+k=0
k>4
Name 20 U.S Capitals
:)