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Which statement is correct for (x^2-2ax+(a^2-b)), where (b>0) and (b) is not a perfect square?
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Answer and explanation
Correct answer: Zeroes are (a+\sqrt{b}) and (a-\sqrt{b}), both can be real irrational
The polynomial equals ((x-a)^2-b), so (x=a\pm\sqrt{b}). When (b) is not a perfect square, (\sqrt{b}) is irrational.
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What is the correct answer to this question?
Zeroes are (a+\sqrt{b}) and (a-\sqrt{b}), both can be real irrational
Why is this the correct answer?
The polynomial equals ((x-a)^2-b), so (x=a\pm\sqrt{b}). When (b) is not a perfect square, (\sqrt{b}) is irrational.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.
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