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If the complex number A satisfies the equation A(2 - i) = 2 + i, where i = √-1, what is the value of A?
- a)5 - i
- b)5 + i
- c)
- d)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the complex number A satisfies the equation A(2 - i) = 2 + i, where...
A(2 - i) = 2 + i
Divide by (2 - i):
Multiply numerator and denominator by the conjugate (2 + i):
FOIL:
Combine terms:
Substitute i2 = -1:
Simplify:
Combine Terms:
Distribute to express in standard a + bi form:
Divide by (2 - i):
Multiply numerator and denominator by the conjugate (2 + i):
FOIL:
Combine terms:
Substitute i2 = -1:
Simplify:
Combine Terms:
Distribute to express in standard a + bi form:
Most Upvoted Answer
If the complex number A satisfies the equation A(2 - i) = 2 + i, where...
A(2 - i) = 2 + i
Divide by (2 - i):
Multiply numerator and denominator by the conjugate (2 + i):
FOIL:
Combine terms:
Substitute i2 = -1:
Simplify:
Combine Terms:
Distribute to express in standard a + bi form:
Divide by (2 - i):
Multiply numerator and denominator by the conjugate (2 + i):
FOIL:
Combine terms:
Substitute i2 = -1:
Simplify:
Combine Terms:
Distribute to express in standard a + bi form:
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If the complex number A satisfies the equation A(2 - i) = 2 + i, where i = √-1, what is the valueof A?a)5 - ib)5 + ic)d)Correct answer is option 'C'. Can you explain this answer?
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If the complex number A satisfies the equation A(2 - i) = 2 + i, where i = √-1, what is the valueof A?a)5 - ib)5 + ic)d)Correct answer is option 'C'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about If the complex number A satisfies the equation A(2 - i) = 2 + i, where i = √-1, what is the valueof A?a)5 - ib)5 + ic)d)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the complex number A satisfies the equation A(2 - i) = 2 + i, where i = √-1, what is the valueof A?a)5 - ib)5 + ic)d)Correct answer is option 'C'. Can you explain this answer?.
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