Polynomials
Simplify Imaginaries
Complex Quadratics
Misc. Complex
100

The number of real and complex roots for this function: 

y=x^{4}-3x^{2}+x+1.07

What are: 4 real, 0 complex?

100

Simplify fully: 

sqrt(-63)

What is 

3isqrt7

100

Use the discriminant to determine whether this quadratic has 2 real, 1 real, or 2 complex solutions:

x^2+4x-9=-6

What are 2 real solutions?

100

The absolute value of 

3+i

What is 

sqrt(10)

200

(2x^3-14x^2+x-17)/(x-7)

What is 

2x^2+1-10/(x-7)

200

Simplify fully:

(12i^(-6))/(4(i^(-4)i^(-4))^(-2))

What is -3?

200

Solve for x: 

9x^2=-18x-11

What are 

x=-1\pm isqrt2/3

200

The graph of the solution to 

(1+isqrt3)(1-isqrt3)

What is 

300

(x^4-6x^3+6x-1)/(x+1)

What is 

x^3-7x^2+7x-1

300

Simplify fully: 

(4i^(-3))/(-4(i^4i^5)^(-4))

What is -i?

300

Find a quadratic with the given roots: 

-1/3 \pm isqrt2

What are (examples):

9x^2+6x+19=0

x^2+2/3x+19/9=0

300

The solution to this system of equations:

(x+1)^2+y^2=25

y=-(x+1)^2-5

What are 

(-1,-5)

(-1\pm isqrt(11),6)