If (p(x)=x^2-14x+45) and (q(x)=x^2-14x+43), which statement is correct?
Answer and explanation
Correct answer: Zeroes of (p(x)) are rational and zeroes of (q(x)) are irrational real
For (p(x)), (D=16) is a perfect square, and for (q(x)), (D=24) is positive but not a perfect square. Thus the first has rational and the second irrational real zeroes.
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What is the correct answer to this question?
Zeroes of (p(x)) are rational and zeroes of (q(x)) are irrational real
Why is this the correct answer?
For (p(x)), (D=16) is a perfect square, and for (q(x)), (D=24) is positive but not a perfect square. Thus the first has rational and the second irrational real zeroes.
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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