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Step-5

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: \$ k^2 - 10k + 9 = 0 \$
2	Step	By using the factorisation method	\$ k^2 - 9k - k + 9 = 0 \$
3	Step	After simplication we get	\$ k(k-9) - 1(k-9) = 0 \$
4	Step	Taking (k-9) has common	\$ (k - 9)(k - 1) = 0 \$
5	Step	We know that if ab = 0 then a=0,b=0	k - 9 = 0, k - 1 = 0
6	Step	Moving constant terms to the left side	k = 9 , k = 1
7		Answer	B

Step

Type

Explanation

Answer

Problem

Solve the equation:
\$ k^2 - 10k + 9 = 0 \$

Step

By using the factorisation method

\$ k^2 - 9k - k + 9 = 0 \$

Step

After simplication we get

\$ k(k-9) - 1(k-9) = 0 \$

Step

Taking (k-9) has common

\$ (k - 9)(k - 1) = 0 \$

Step

We know that if ab = 0 then a=0,b=0

k - 9 = 0, k - 1 = 0

Step

Moving constant terms to the left side

k = 9 , k = 1

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?