Complex Numbers
What is i?
square root of -1
Solve for the roots.
(x-3)^2=25
-2 and 8
Solve using the quadratic formula
x^2-5x-14=0
7 and -2
Solve the following equations by completing the square
x ^2 + 6x + 8 = 0
-2 and -4
The solutions of a linear-quadratic system are where the line and the parabola _______.
intersect
Simplify the expression.
(4 + 2i) + (3 + 5i)
7 + 7i
Solve for the roots.
x^2-49=0
+7 and -7
Solve using the quadratic formula
2x^2+2x-12=0
2 and -3
Solve the following equations by completing the square
x ^2 + 14x − 15 = 0
1 and -15
How many solutions can a linear-quadratic system have?
0, 1 or 2
Simplify the expression.
(-2 + 9i) + (6 - 3i)
4 + 6i
Solve for the roots.
x^2+16=0
+4i and -4i
Solve using the quadratic formula
x^2-4x+4=0
2
Solve the following equations by completing the square
n^ 2 − 2n − 3 = 0
3 and -1
What are the solutions for the following system?
y=-x2 + 5x + 6
y=x + 6
(0, 6) and (4, 10)
Simplify the expression.
(8 + 2i) - (4 - 3i)
4 + 5i
Solve for the roots.
9x^2 + 5 = 41
-2 and 2
Solve using the quadratic formula
2x^2+3x-20=0
5/2 and -4
Solve the following equations by completing the square
k ^2 − 12k + 23 = 0
6+-\sqrt13
What are the solutions for the following system?
y = x2 + 3x - 5
y = x + 3
(-4, -1) and (2, 5)
Simplify the expression.
(-3 - 8i) - (4 + 2i)
-7 - 10i
Solve for the roots.
2x^2-200=0
-10 and 10
Solve using the quadratic formula
2x^ 2 − 7x − 13 = −10
(7+-\sqrt73)/4
Solve the following equations by completing the square
p^ 2 + 14 p − 38 = 0
-7 +- \sqrt87
Find the solution.
y = x2 - 4x + 6
y = x + 2
(1, 3) and (4, 6)