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If a and ß are the roots of r² = x 1 then value of a² B B² is a) 2 √√5 b) √5 c) 3√5 d)-2√?
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If a and ß are the roots of r² = x 1 then value of a² B B² is a) 2 √...
Solution:

Given equation is r² = x + 1

Let's find the value of a² + b²

We know that sum of the roots of the equation r² = x + 1 is equal to 0.

a + b = 0

Squaring both sides, we get

a² + b² + 2ab = 0

Since ab = 1 (product of the roots), we have

a² + b² = -2

Therefore, the value of a² + b² is -2.

Now, let's find the value of a²b².

We know that product of the roots of the equation r² = x + 1 is equal to 1.

ab = 1

Squaring both sides, we get

a²b² = 1

Therefore, the value of a²b² is 1.

Now, let's find the value of a²b² + a² + b².

a²b² + a² + b² = 1 + (-2)

= -1

Therefore, the value of a²b² + a² + b² is -1.

Hence, the correct option is d) -2√.
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If a and ß are the roots of r² = x 1 then value of a² B B² is a) 2 √√5 b) √5 c) 3√5 d)-2√?
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If a and ß are the roots of r² = x 1 then value of a² B B² is a) 2 √√5 b) √5 c) 3√5 d)-2√? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If a and ß are the roots of r² = x 1 then value of a² B B² is a) 2 √√5 b) √5 c) 3√5 d)-2√? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a and ß are the roots of r² = x 1 then value of a² B B² is a) 2 √√5 b) √5 c) 3√5 d)-2√?.
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