Step-4

Title: Roots of the quadratic equation

Grade: 9-a Lesson: S1-L6

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

Lesson Steps

Step Type Explanation Answer

1

Problem

Find the roots of the quadratic equation:
\$ 2x^2 -x -1=0 \$

2

Step

the equation is in the form of

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

3

Formula:

by using this formula

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

4

Step

converting the equation into formula

\$ x = (-(-1) ± \sqrt((-1)^2 - 4\times(2)\times(-1)))/(2\times(2)) \$

5

Step

Simplifing the equation

\$ x = (1 ± \sqrt(1 + 8))/4 \$

6

Step

Subtract the numbers under square root

\$ x = (1 ± \sqrt(9))/4 \$

7

Step

Take the multiples of '9' and then we get

\$ x = (1 ± 3)/4\$

8

Step

After Cancellation we get

\$ x = (1 ± 3)/4 \$

9

Step

calculating the terms

\$ x = ((1 + 3)/4 , (1 - 3)/4) \$

10

Answer

D

Tutor: Questions

Seq Type Question Audio

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?


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