Solving (Roots and Factoring)
Sum, Difference and Product
Quotients
Discriminant
Quadratic Formula
100

The square root solution of:

                     x2 = -81

What are 9i and -9i ?

100

The sum of: (-2 + 3i) + (5 - 2i).

What is 3 + i ?

100

The square root solution of:

                     x2 = -144

What are 12i and -12i ?

100

The discriminant, type and number of solutions for:

x2 - 15x +12 = 0.

What is 177 and two real solutions?

200

The square root solution of:

                     x2 = -108

What are 6i sqrt(3) and -6i sqrt(3) ?

200

The difference of: (-6 + 7i) - (3 - 5i).

What is -9 + 12i ?

200

The difference of: (8 + 5i) - (6 - 7i).

What is 2 + 12i ?

200

The discriminant, type and number of solutions for:

3x2 - 6x +4 = 0.

What is -12 and two imaginary solutions?

200

Margaret runs a business's revenue is given by the function R = −0.5x2 − 200x. Can her revenue be at least $25,000 this year.  (discriminant question)

What is no ?

300

The solutions to 2x2 + 72 = 0.

What are 6i and -6i ?

300

The product of (4 -3i)(-5 + 4i).

What is -8 + 31i ?

300

The quotient of 3i/(-2 + i).

What is (3 - 6i)/5 ?

300

The value(s) of k that will cause the equation 4x2 + kx + 4 = 0 to have one real solution.

What is 8 and -8 ?

300

The solution(s) to x2 + 4x - 5 = 0.

What are -5 and 1 ?

400

The solutions to x2 + 25 = 0.

What are 5i and -5i ?

400

The product of (2 - i)(-3 + 6i).

What is 15i ?

400

The quotient of (5 + 2i)/4i.

What is (2 - 5i)/4 ?

400

The value(s) of k that will cause the equation 4x2 + kx + 4 = 0 to have, two real solutions.

What are k > 8 and k < -8 ?

400

The solution(s) to 3x2 + 2x + 1 = 0.

What is (-1 +- i sqrt(2))/3 ?

500

The solutions to 9x2 + 1 = 0.

What are i/3 and -i/3 ?

500

The product of (5 - 3i)(5 + 3i).

What is 36 ?

500

The quotient of (3 - 2i)/(4 - 3i).

What is (18 + i)/25 ?

500

The value(s) of k that will cause the equation 4x2 + kx + 4 = 0 to have zero real solutions.

What is -8 < k < 8 ?

500

The solution(s) to x2 -15x + 7 = 0.

What is (15 +- sqrt(197))/2 ?

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