Square Root Method
This symbol has to be included when you take the square root of both sides of an equation.
What is plus or minus?
Before solving by factoring, one side of the equation has to be equal to this number.
What is 0?
Before solving using the quadratic formula, the equation needs to be in this form.
What is standard form? (Or: ax2 + bx + c = 0)
This type of number is what you get when you take the square root of a negative number.
What is an imaginary number?
The word for all the x values of a function.
When simplifying square roots, we need to find factors that are this type of number.
What are perfect squares?
The solutions to this equation:
(x - 3)(x + 2) = 0
What are 3 and -2?
The a value in this equation:
x2 - 5x + 3 = 0
What is 1?
This number is equal to i2.
What is -1?
This type of transformation is the opposite of a stretch.
What is a compression?
The fully simplified form of the square root of 32.
The factored form of
x2 - 5x + 6.
What is (x - 3)(x - 2)?
The b value in this equation:
2x2 - 15 = 0.
What is 0?
This step has to be done when subtracting complex numbers, but not when adding.
The solution to this equation:
|4x + 3| = -1
What is no solution?
The solutions of this equation (use the square root method):
x2 - 3 = 1
What are 2 and -2? (Or, what is plus or minus 2?)
The factored form of
x2 + 11x + 24.
What is (x + 3)(x + 8)?
The solutions of this equation (use the quadratic formula):
2x2 - 3x - 2 = 0
What are -1/2 and 2?
The complex number equal to
(2 + 3i) + (5 - 4i).
What is 7 - i?
The range of the function
f(x)=2(x-1)2 + 3.
What is [3,infinity)? (Or: what is y>=3?)
The solutions of this equation (use the square root method):
(x - 1)2 + 5 = 1
What are 1+2i and 1-2i? (Or, what is 1 plus or minus 2i?)
The solutions to this equation (use factoring):
x2 - 2x = 99.
What are 11 and -9?
The solutions to this equation (use the quadratic formula):
x2 - 2x + 5 = 0
What are 1 + 2i and 1 - 2i?
The complex number equal to
(3 + 2i)(1 - 5i).
What is 13 - 13i?
The decreasing interval in
f(x) = -(x - 2)2 + 5.
What is (2,infinity)? (Or: what is x>=2)?