Solve the quadratic equations by factorization method only x2 + (1 – 2i)x – 2i = 0

Asked by Sakshi | 1 year ago |  181

##### Solution :-

x2 + (1 – 2i)x – 2i = 0

Given: x2 + (1 – 2i)x – 2i = 0

x2 + x – 2ix – 2i = 0

x(x + 1) – 2i(x + 1) = 0

(x + 1) (x – 2i) = 0

x + 1 = 0 or x – 2i = 0

x = –1 or 2i

The roots of the given equation are –1, 2i

Answered by Aaryan | 1 year ago

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The text passage contains a mathematical question and its solution. The question is to solve a quadratic equation by the factorization method, and the solution is provided.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
Solve the quadratic equations by factorization method only x2 + (1 – 2i)x – 2i = 0

Asked by Sakshi | 1 year ago |  181

##### Solution :-

x2 + (1 – 2i)x – 2i = 0

Given: x2 + (1 – 2i)x – 2i = 0

x2 + x – 2ix – 2i = 0

x(x + 1) – 2i(x + 1) = 0

(x + 1) (x – 2i) = 0

x + 1 = 0 or x – 2i = 0

x = –1 or 2i

The roots of the given equation are –1, 2i

Answered by Aaryan | 1 year ago

### Related Questions

#### Show that 1 + i10 + i20 + i30 is a real number?

Show that 1 + i10 + i20 + i30 is a real number?

#### Solve the quadratic equations by factorization method only 6x2 – 17ix – 12 = 0

Solve the quadratic equations by factorization method only 6x2 – 17ix – 12 = 0

#### Solve the quadratic equations by factorization method only x2 + 10ix – 21 = 0

Solve the quadratic equations by factorization method only x2 + 10ix – 21 = 0
user
The text passage contains a mathematical question and its solution. The question is to solve a quadratic equation by the factorization method, and the solution is provided.

TYPE: SINGLE_QUESTION_WITH_ANSWER