Imaginary #s
Factoring
Solving Quadratics
Discriminant
100

This is the square root of -36.

What is 6?

100

This is the factored form of x2 + 5x + 4.

What is (x + 1)(x + 4) ?

100

These are the solutions to (x + 5)(x - 2) = 0.

What are -5 and 2 ?

100

This is the discriminant of x2 + 10x - 25 = 0.

What is 200?

200

This is (-2 + 3i) + (4 + 5i) simplified.

What is 2 + 8?

200

This is the factored form of x2 - 7x + 10.

What is (x - 5)(x - 2) ?

200

These are the solutions to x2 = 9.

What are 3 and -3 ?

200

This is the number and type of solutions if the discriminant is 16.

What are 2, real, rational solutions?

300

This is (5 + 4i) - (-1 - 2i) simplified.

What is 6 + 6?

300

This is the factored form of x2 - 2x - 35.

What is (x + 5)(x - 7) ?

300

These are the solutions to x2 +6x - 4 = 0.  Use the quadratic formula and simplify at the end.

What are -3±√13 ?

300

This is the discriminant of the equation -5x2 = -6x +4.

What is -44?

400

This is (5 + 4i)(1 + 2i) simplified.

What is -3 + 14?

400

This is the factored form of 9x2 - 1.

What is (3x + 1)(3x - 1) ?

400

These are the solutions to 7x2 + 105 = 0.

What are ±i√15 ?

400
This is the only value of the discriminant that results in 1 solution.

What is 0?

500

This is i42 simplified.

What is i2 or -1 ?

500

This is the factored form of 4x2 - 4x - 15.

What is (2x - 5)(2x + 3) ?

500

These are the solutions to 3x2 - 5x = -12.  Use the quadratic formula.

What are (5±i√119)/6 ?

500

The equation p = -15,000g2 + 34,500g -16,800 models the daily profits, p, of a gas station based on the price per gallon of g.  This is whether or not the discriminant indicates the station can profit $4000 a day.  Must use discriminant and explain.

What is NO?  The discriminant is negative, so there are no real values of g that will give p = $4000.