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Lesson Example Discussion Quiz: Class Homework

Step-3

Title: Solve the quadratic equation by factoring

Grade: 9-a Lesson: S1-L4

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Solve the equation: \$ 2x^2 + 3x + 5 = 0 \$
2	Step	the equation is in the form of	\$ax^2+bx+c=0\$
3	Formula:	formula	\$ x = (-b \pm \sqrt (b^2 - 4ac))/(2a) \$
4	Step	converting formula into equation	\$ x = (-3 \pm \sqrt (3^2 - 4(2)(5)))/(2(2)) \$
5	Step	Simplifing the equation	\$ x = (-3 \pm \sqrt (9 - 40))/4 \$
6	Step	Simplifing the equation	\$ x = (-3 \pm \sqrt ((-1)(31)))/4 \$
7	Step	We know that \$i^2 = -1\$	\$ x = (-3 \pm \sqrt (i^2 31))/4 \$
8	Step	After simplification we get	\$ x = (-3 \pm i\sqrt (31))/4\$
9		Answer	c

Step

Type

Explanation

Answer

Problem

Solve the equation:
\$ 2x^2 + 3x + 5 = 0 \$

Step

the equation is in the form of

\$ax^2+bx+c=0\$

Formula:

formula

\$ x = (-b \pm \sqrt (b^2 - 4ac))/(2a) \$

Step

converting formula into equation

\$ x = (-3 \pm \sqrt (3^2 - 4(2)(5)))/(2(2)) \$

Step

Simplifing the equation

\$ x = (-3 \pm \sqrt (9 - 40))/4 \$

Step

Simplifing the equation

\$ x = (-3 \pm \sqrt ((-1)(31)))/4 \$

Step

We know that \$i^2 = -1\$

\$ x = (-3 \pm \sqrt (i^2 31))/4 \$

Step

After simplification we get

\$ x = (-3 \pm i\sqrt (31))/4\$

Answer

Tutor: Questions

Seq	Type	Question
1	Problem	What did you learn from this problem?
2	Clue	What did you learn from the clues?
3	Hint	What did you learn from the Hints?
4	Step	What did you learn from the Steps?
5	Step	How can we improve the Steps?

Seq

Type

Question

Audio

Problem

What did you learn from this problem?

Clue

What did you learn from the clues?

Hint

What did you learn from the Hints?

Step

What did you learn from the Steps?

Step

How can we improve the Steps?