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If (p(x)=x^2-2ax+(a^2-7)) and (a) is rational, which statement about the zeroes is correct?
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Answer and explanation
Correct answer: They are (a+\sqrt{7}) and (a-\sqrt{7})
(p(x)=(x-a)^2-7), so (x=a\pm\sqrt{7}). Recognizing a perfect-square form saves time in hard questions.
Frequently asked questions
What is the correct answer to this question?
They are (a+\sqrt{7}) and (a-\sqrt{7})
Why is this the correct answer?
(p(x)=(x-a)^2-7), so (x=a\pm\sqrt{7}). Recognizing a perfect-square form saves time in hard questions.
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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