Solve Quadratic Equations and Inequations

Solving Qudratic Equations and Inequations. Ms. Yu

Fill in the Blanks

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