Factoring
Solve the following quadratic equation by factoring.
x2 - 6x + 5 = 0
{1, 5}
Solve the following quadratic equation by completing the square:
0 = x2 + 6x +8
{-4, -2}
When would you use the quadratic formula?
decimals, large numbers, or anytime you want some math fun.
What are three ways you can solve for the x-intercepts?
Completing the Square
Factoring using the Zero Product Property
Quadratic Formula
Square root Method
Solve the equation. (x-2)²=16
-2 and 6
What is the vertex of this equation?
y = x²-4x+13
V - (2,9)
Solve the following quadratic equation by factoring.
3n2 - 25n + 28=0
{4/3, 7}
Solve the following quadratic equation by completing the square:
x2 - 6x = -5
{1, 5}
Solve the following quadratic equation by using the quadratic formula:
x2 + 6x + 5 = 0
x = -1, x = -5
What is the discriminant?
b2-4ac
Solve the equation. (x-3/2)²=13
3/2±√13
What is the axis of symmetry of this equation y=x²-10x+11
x = 5
Solve the following quadratic equation by factoring.
28b2 - 348 =-5
{-7/2, 7/2}
Solve the following quadratic equation by completing the square:
x2 - 2x - 24 = 0
{-4, 6}
Solve the following quadratic equation by using the quadratic formula. Round your answer to the nearest hundredth:
x2 - 9x + 6 = 0
{0.72, 8.27}
What must be add to the expression x²+bx to complete the square?
This is what we normally do but with variables!!
(b/2)²
solve by using the square root :
4x2+15=-9
x = 1/2 square root 6 and -1/2 square root 6
Write each function in vertex form
y=x²-12x-6
y =(x-6)²-42
vertex - (6,42)
Solve the following quadratic equation by factoring.
9x2 + 10x - 30= 7x
{5/3, -2}
Solve the following quadratic equation by completing the square.
Round your answers to the nearest hundredth:
x2 + 10x +5 = 0
{-0.53, -9.47}
Solve the following quadratic equation by using the quadratic formula:
2x2 + 9x + 4 = 0
{-1/2, -4}
What is the standard form of a quadratic equation?
ax2 + bx + c = 0
Solve the equation. 4(x-1)2=12
1±√3
Write each function in vertex form
y = 2x²-8x-4
y =2(x-2)²-12
vertex - (2, -12)
Solve the following quadratic equation by factoring:
-2m2 - 60m +72 = -8m2 - 3m
{3/2, 8}
Solve the following quadratic equation by completing the square (nearest tenth):
x2 - 8x + 13 = 0
x = 5.7, x = 2.3
Solve the following quadratic equation by using the quadratic formula (nearest tenth):
4x2 - 17x =-12
{0.9, 3.4}
solve using the quadratic formula:
k2 − 31 − 2k = −6 − 3k2 − 2k
x= 5/2, -5/2
Solve the equation. 2(x+4)2=12
-4±√6
Finish the sentence,
It's time for ______ _______.
Dodger Baseball