If (p(x)=x^2-9x+14) and (q(x)=x^2-9x+15), which statement about the types of zeroes 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=81-56=25), a perfect square, so the zeroes are rational. For (q(x)), (D=81-60=21), positive but not a perfect square, so the zeroes are irrational real.
Frequently asked questions
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=81-56=25), a perfect square, so the zeroes are rational. For (q(x)), (D=81-60=21), positive but not a perfect square, so the zeroes are irrational real.
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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