Complex Numbers
This is the symbol for the square root of negative one.
What is i?
The numerator of the quadratic formula is negative b plus or minus the square root of this expression.
What is b^2-4ac?
This is the simplest possible version of the expression sqrt(20).
What is 2sqrt(5)?
25 and this number have absolute value equal to 25.
What is -25?
This expression, which uses 4 different letters of the alphabet, is the general form for a quadratic.
What is ax^2+bx+c?
This is the fully simplified version of the expression i^4.
What is 1?
To factor the quadratic 3x^2+7x-6, we would need to choose numbers that combine, via multiplication and addition, to these two numbers.
What are -18 and 7?
This is a way to write the fourth root of 15 using exponents.
What is 15^{1/4}?
These are the two numbers with absolute value equal to 11.
What are 11 and -11?
This expression is another way to write 33^{1/6}, using radicals instead of exponents.
What is the sixth root of 33?
This is the fully simplified result of the addition (3+2i)+(-5+7i).
What is -2+9i?
The quadratic x^2+6x+5 factors into these two linear pieces.
What are (x+5) and (x+1)?
This expression is the result of fully simplifying sqrt(300).
What is 10*sqrt(3)?
This is the number of solutions to the equation |3x+5|=0.
This expression is the fully simplified result of the subtraction (5+7i)-(-2+3i).
What is 7+4i?
This is the average of the complex numbers 2+7i and 10-3i.
What is 6+2i?
The roots of the quadratic
x^2-4x+3
are these two numbers. Simplify as much as possible, please.
What are x=3 and x=1?
This whole number is the simplified version of the expression 81^{3/4}.
What is 27?
These are the solutions to the equation |2x+5|=9.
What are x=2 and x=-7?
These two numbers are the solutions to the equation 4|x-3|=40.
What are x=13 and x=-7?
This is the fully simplified result of the product (2+i)*(3-4i).
10-5i?
The roots of the quadratic 3x^2+7x+1 are these two numbers. Simplify as much as possible, please.
What are x=(-7+sqrt(37))/6 and x=(-7-sqrt(37))/6?
This is the fully simplified version of the fourth root of b^{8}*c^{12}*d^{20}.
What is b^{2}*c^{3}*d^{5}?
These are the solutions to the equation 5|x-3|+8=33.
What are x=8 and x=-2?
How are we going to do on the exam?
What is FANTASTIC?