Answered: 41. x - 5x + 1 = 0

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Determine the discriminant of each quadratic equation. Use the value of the discriminant to determine whether the quadratic equation has two rational solutions, two irrational solutions, one repeated rational solution, or two complex solutions, or two complex solutions that are not real.

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Step 1

The discriminant of quadratic equation ax²+bx+c=0 is given by:

If ,

D > 0 solutions are real and distinct.
D = 0 soltions are real and equal.
D < 0 solutions are imaginary.

also if D is a perfect square the solutions are rational else irrational.

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