13. What is the nature of the roots of the quadratic equation x2-x + 2 = 0?
A.Two distinct real roots.
B. Two real equal roots. C.Irrational Roots
D. No real roots
(imaginary)

Question

Answered

Sagot :

Анонимid Анонимid · Answer 1

Solution:

The discriminant tells us the nature of roots of the quadratic equation. If

b² - 4ac > 0 , the roots are real and distinct

b² - 4ac = 0 , the roots are real and equal

b² - 4ac < 0 , the roots are imaginary

The values of a, b, and c of the quadratic equation are

a = 1

b = -1

c = 2

The discriminant of the quadratic equation is

D = b² - 4ac

D = (-1)² - 4(1)(2)

D = 1 - 8

D = -7

Since the discriminant is less than 0, there are no real roots.

The answer is D. No real roots (imaginary).

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