When you factor x² - 5x + 6, this is what you get.
What is (x - 2)(x - 3)?
100
The general solution to the equation ax² + bx + c = 0.
What is (-b ± √(b² - 4ac)) / (2a)?
100
This is the formula for the discriminant of the quadratic ax² + bx + c.
What is b² - 4ac?
100
This distinctive "U" shape is what we see when we graph a quadratic function.
What is a parabola?
100
When trying to find the maximum or minimum value of a quadratic equation, you want to find this point on the graph.
What is the vertex?
200
Quadratic equations can have up to this many solutions.
What is 2?
200
These two numbers are the solutions of the equation t² - 3t - 28 = 0.
What are -4 and 7?
200
The discriminant of the quadratic t² - 3t - 28.
What is 121?
200
This formula is used to find the x-coordinate of the vertex of a given quadratic function.
What is -b/2a?
200
This is the largest possible product of two numbers that add up to 10.
What is 25?
300
When you factor x² - 26x + 169, this is what you get.
What is (x - 13)²?
300
The full solution set for the equation x² - 8x + 16 = 0.
What is 4?
300
When you have this type of discriminant, you should expect non-real solutions to your quadratic equation.
What is negative?
300
This point is where the equation y = -16x² + 64x is at its highest.
What is (2, 64)?
300
This formula gives the area of a right triangle whose height is x and whose base is four times the length of its height.
What is A = 2x²?
400
If f(x) = 2x² - 6x + 1, this is f(3).
What is 1?
400
This algebraic method is used to turn ax² + bx + c = 0 step-by-step into the "complete" quadratic formula as we know it.
What is completing the square?
400
If your discriminant is this number, your quadratic equation has only one solution, not two.
What is zero?
400
Mirror, mirror on the wall; where does y = x² + 6x - 8's axis of symmetry fall? On this vertical line.
What is x = -3?
400
A grenade is fired from the top of a tower so that its height is given by the equation h(t) = -16t² + 64t + 200, where t is measured in seconds. The grenade reaches its highest point at this time.
What is t=2?
500
This value of c makes the quadratic x² - 3x + c into a perfect square trinomial.
What is 9/4?
500
These solutions to the equation 3p² - 5p + 9 = 0 are more complicated than you might "imagine" at first.
What are (5 + i√83) / 6 and (5 - i√83) / 6?
500
Let's be rational - just like your solutions will be if the discriminant is this kind of number.
What is a perfect square?
500
This quadratic equation has a vertex at (4,1) and goes through the point (5,0).
What is y = -(x - 4)² + 1?
500
It costs the Fresh Air Fan Company (20x + 1000) dollars to produce x ceiling fans. They sell the fans for (300 - 2x) dollars each. The company can maximize its profit if it produces this many fans.