Answered: Suppose a quadratic equation is given…

Suppose a quadratic equation is given as follows: (k – 1)x² + x + 1 = 0 Select all values of k for which the above equation has two real and equal roots.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.5: Systems Of Linear Equations In More Than Two Variables

Problem 43E

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Concept explainers

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.

Question

Suppose a quadratic equation is given as follows:
(k – 1)x² + x + 1 =0
Select all values of k for which the above equation has two real and equal roots.
0.25
0.5
0.75
1.25
1.5
1.75

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