What's Your Complex?
The standard form of a complex number
What is a+bi?
sqrt(50)
, simplified
What is
5 sqrt2 ?
This is the formula for the discriminant of the quadratic ax² + bx + c.
Hint: This is part of the quadratic formula!
What is b² - 4ac?
This number is added to the binomial to complete the square x2 + 22x
What is 121?
This equation represents a quadratic equation in vertex form
What is y=a(x-h)² + k ?
The solution to the equation 2x²+11=-37
What is x = ± 2i√6?
sqrt(9/8)
, simplified
What is
(3sqrt(2))/4
*DAILY DOUBLE*
This formula can find the solutions of any quadratic function
What is
x=(-b+-sqrt(b^2-4ac))/(2a)
?
This is the vertex form of the quadratic equation below using the process of completing the square
Y = x2 +8x +3
What is y= (x+4)2 - 13?
This quadratic equation, written in intercept form, has the x-intercepts -7 and -3 and passes through (-1,12)
What is y=(x+7)(x+3)?
The equivalent simplified expression of 10 - (6+7i) +4i
What is 4-3i?
These are the solutions to
3x^2+5=41
What is
+-2sqrt3
?
*Daily Double*
When you have this type of discriminant, you should expect non-real solutions to your quadratic equation.
What is negative?
This is the vertex form of the quadratic equation below using the process of completing the square
y= 3x2 -12x+1
What is y = 3(x-2)2 - 11?
This quadratic equation has a vertex of (-3,-2) and passes through (1,-10)
What is y= -0.5(x+3)² -2 ?
The simplified product of (9-2i) and (-4+7i)
What is -22+71i?
The solutions to the equation
7(x-4)^2-18=10
What is x = 6 and x = 2?
If your discriminant is this number, your quadratic equation has only one solution, not two.
What is zero?
*DAILY DOUBLE*
The answer to the equation found by completing the square x2 -2x-10 = 0
What is x=1 ± √11?
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?
The simplified quotient of (7+5i) / (1-4i)
What is (-13/17) + (33i/17)?
The solutions to the equation
3(x+2)^2+4=13
What is
-2+-sqrt3 ?
Let's be rational - just like your solutions will be if the discriminant is this kind of number.
What is a perfect square?
The solution to the equation found by completing the square x2-3x-7=0
What is x= (3 ± √37) / 2 ?
x= 3 plus or minus the square root of 37 all over 2
This quadratic function in standard form has solutions of 3 and 4 and passes through the point (1, 12)
What is y = 2x² - 14x + 24?