Solve Quadratic Equations and Inequations

Solving Qudratic Equations and Inequations. Ms. Yu

Fill in the Blank

What does it mean to solve an equation or inequations?

.

Draw

How do we solve if given a graph?

Given y = -x²+ 6x -5 is given graph

and -x²+ 6x -5 > 3

Multiple Choice

Consider the graph of y = -x²+6x-5, Solve if possible.

If -x²+6x-5 = 0

• x=1 or x=5

• x=1 or x =-5

• x=0 or x=-5

• x=5 or x=-5

Multiple Choice

Consider the graph of y = -x²+6x-5, Solve if possible.

If -x²+6x-5 = -5

• x=1 or x=6

• x=-5 or x=5

• x=0 or x=6

• x= 3 or x=4

Multiple Choice

Consider the graph of y = -x²+6x-5, Solve if possible.

If -x²+6x-5 = 5

• x=1 or x=6

• No solutions

• x=0 or x=-6

• x= 3 or x=4

Multiple Choice

Consider the graph of y = -x²+6x-5, Solve if possible.

If -x²+6x-5 = 4

• x=1

• No solutions

• x=4

• x=3

Multiple Choice

Consider the graph of y = -x²+6x-5, Solve if possible.

If -x²+6x-5 $$<$$ 0

• x < 1 or x > 5

• $$-\infty$$ < x < $$\infty$$

• 1< x <5

• 0 < x <1

Multiple Choice

Consider the graph of y = -x²+6x-5, Solve if possible.

If -x²+6x-5 $$\ge$$ -5

• x < 1 or x > 5

• 0 $$\le$$ x $$\le$$ 6

• 1< x <5

• 0 < x <1

Multiple Choice

Consider the graph of y = -x²+6x-5, Solve if possible.

If -x²+ 6x -5 $$\le$$ 4

• x < 1 or x > 5

• 0 $$\le$$ x $$\le$$ 6

• x $$\in$$ $$R$$

• 0 < x <1

Multiple Choice

Consider the graph of y = -x²+6x-5, Solve if possible.

If -x²+ 6x -5 $$\ge$$ 4

• x < 1 or x > 5

• x = 3

• x $$\in$$ $$R$$

• 0 < x <1

Multiple Choice

Consider the graph of y = -x²+6x-5, Solve if possible.

If -x²+6x-5 $$>$$ x - 1

• x < 1 or x > 5

• 0 $$\le$$ x $$\le$$ 6

• 1 < x < 5

• 1 < x < 4

Take out your notebook

Time for Some Paper and Pen Work !!

Solve by Isolation

​Solve the following equations, if possible. Leave all answers as exact value.

a) 0 = 9 (x+2)² - 16

b) -20 = 9 (x+2)² - 16

c) 0 = x²+ 4x -6