Square Roots & PST
Completing the Square
Quadratic Formula
Imaginary & Complex Numbers
Imaginary & Complex Numbers
100
Solve the quadratic equation using square roots.
2x^2+5=55
x=+-5
100
What value completes the square?
x^2+8x
16
100
Solve the quadratic equation using the quadratic formula.
x^2-9=-8x
x=1,-9
100
Find the square root.
sqrt(-49)
7i
100
Find each sum or difference.
(6+2i)-(-4-6i)
10+8i
200
Solve the quadratic equations using square roots.
x^2-10=5
x=+-sqrt(15)
200
What value completes the square?
x^2-10x
25
200
Solve the quadratic equation using the quadratic formula.
x^2-6x+4=0
x=3+-sqrt(5)
200
Find the square root.
sqrt(-20)
2isqrt(5)
200
Find the product.
2i(4-5i)
10+8i
300
Solve the quadratic equation using a Perfect Square Trinomial Equation (PST).
x^2-10x+25=4
x=7,3
300
Solve the quadratic equation by completing the square.
x^2-8x-5=0
x=4+-sqrt(21)
300
Solve the quadratic equation using the quadratic formula.
-x^2+4x=13
x=2+-3i
300
Graph the following complex number.
4-5i
300
Find the product of the complex numbers.
(3-2i)(7+3i)
27-5i
400
Solve the quadratic equation using a Perfect Square Trinomial Equation (PST).
x^2+18x+81=10
x=-9+-sqrt(10)
400
Solve the quadratic equation by completing the square.
x^2+8x=-17
x=-4+-i
400
Below is the discriminant of the quadratic formula. What values of the discriminant will lead to what number of real solutions?
b^2-4ac
If Positive --> 2 Real Solutions
If Zero --> 1 Real Solution
If Negative --> No Real Solutions
400
Find the complex number's distance from the origin in the complex number plane.
4-5i
sqrt(41)
400
Divide the following complex numbers.
(-4+10i)/(3+4i)
(28+46i)/25