Solving Quadratic Equations

Unit 5
Section 1-2

Math Response

Solve the following.

$$\left(x-4\right)^2=192$$

Enter your answer like the previous video did for the 2nd example.

(use +-)

Upload a picture of your work.

Type answer here

Correct Answer: 4+-8\sqrt{3}

Deg^°

Rad

Reorder

Put the steps to solve the following quadratic function by completing the square in order.

$$2x^2+4x-6=0$$

• Subtract 6 from both sides to get variable terms on left and constants on right. Then, factor out a 2 on left.

• Add in magic number squared of 1 on left and 2(1^2) on right.

• Simplify equation to $$2\left(x+1\right)^2=8$$

• Divide both sides by 2

• Take square root of both sides of equation, then add 1 to both sides to get solution of -3 and 1

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Open Ended

Upload a picture of the work you did for the previous question.

Show all work to solve

$$2x^2+4x-6=0$$

by completing the square.

​Take a look at these examples of how to solve using the quadratic formula.

Draw

Solve the following by using the quadratic formula.

Show all work in your drawing.

$$2x^2+3x-4$$

Draw

Finish the notes....

Use the drawing board to answer Example 2.

hint: solve by factoring

$$x^2+4x+3<0$$

Draw

Finish the notes....

Use the drawing board to answer Example 4.

hint: solve by factoring

$$h^2-2h\ge3$$

Draw

Finish the notes....

Use the drawing board to answer Example 6.

Find the vertex, y-intercept, and a third point by using the axis of symmetry.

Also show you tried a test point for your graphed solution.

$$y\le x^2-10$$

WATCH out!!! remember, if there is no x-term, then b = 0