Which of the following illustrates the truth value of the given conditional statement?

The equation x2 + x + 1 = 0 has two real roots, and √3 is an irrational number

T F → F
F T → F
T T → T
F F → F

Question

08-09-2017
Mathematics

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Which of the following illustrates the truth value of the given conditional statement?

The equation x2 + x + 1 = 0 has two real roots, and √3 is an irrational number

T F → F
F T → F
T T → T
F F → F

Respuesta :

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Аноним Аноним · Answer 1 · 2017-09-08T16:31:19+02:00

Аноним Аноним

08-09-2017

Test the nature of the roots by evaluating the discriminant b^2 - 4ac:

Discriminant = 1^2 - 4 * 1 * 1 = -3

This is negative so there are no real roots of this equation

Square root of 3 is irrational

So its F T --> F

Answer Link

Which of the following illustrates the truth value of the given conditional statement? The equation x2 + x + 1 = 0 has two real roots, and √3 is an irrational number T F → F F T → F T T → T F F → F

Respuesta :

Otras preguntas

Which of the following illustrates the truth value of the given conditional statement?

The equation x2 + x + 1 = 0 has two real roots, and √3 is an irrational number

T F → F
F T → F
T T → T
F F → F