Simplify the radicals
(3 +4i)(5+5i)
-5 + 35i
The equation below is in standard form:
ax2 +bx + c = 0
Which formula can be used to solve this for x?
Quadratic Formula
Solve the following by substitution:
y = x2 + 3x + 6
y = -x + 3
(-1, 4)
(-3, 6)
What is the Quadratic Formula?
x= (-b ± √(b^2-4ac))/2a
Solve the following by substitution:
y = x2 + 7x + 9
y = -x + 2
(-1, 3)
(-7, 9)
Find the discriminant of the quadratic equation & determine the number of real solutions.
5x2 + 10x +5 = 0
Discriminant = 0
One Real Solution
Solve the following by substitution:
y = x2 - 2x - 7
y = -2x2 + 5x - 1
(-2/3, -47/9)
(3, -4)
Solve the equation using the Quadratic Formula:
x2 - 6x + 8 = 0
x = 2, 4
Without graphing, determine how many solutions this function has:
y = -2x2 + 2x + 7
Use the discriminant
Function has 2 solutions
Solve the equation using the Quadratic Formula:
2x(2x-1) = 11
x= (1- 3√5)/4
x = (1+ 3√5)/4
Use the following answer to determine the original quadratic equation:
x= (-7+ √17)/2
x = (-7- √17)/2
x2 + 7x + 8 = 0