Let p be a prime number. The quadratic equation having its roots as factors of p is(a) x2 –px +p=0 (b) x2–(p+1)x +p=0 (c) x2+(p+1)x +p=0 (d) x2 –px+p+1=0

Question

Let p be a prime number. The quadratic equation having its roots as factors of p is(a) x2 –px +p=0 (b) x2–(p+1)x +p=0 (c) x2+(p+1)x +p=0 (d) x2 –px+p+1=0
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Solution 1

The roots of a quadratic equation are given by the formula x = [-b ± sqrt(b^2 - 4ac)] / 2a.

For a prime number p, its only factors are 1 and p itself.

Let's examine each of the given equations:

(a) x^2 –px +p=0 Here, a=1, b=-p, c=p. The roots are given by x = [p ± sqrt((-p)^2 - 41p)] / 2*1 = Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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