videogamer101 videogamer101
  • 02-10-2020
  • Mathematics
contestada

Without solving the equation, determine the nature of the roots of x^2 - 2x - 8 = 0.


Two, real unequal roots

Two, real equal roots

No real roots

Respuesta :

altavistard
altavistard altavistard
  • 04-10-2020

Answer:

two real, unequal  roots

Step-by-step explanation:

This is a quadratic equation.  The quadratic formula can be used to determine how many and what kind of roots may exist:  

Find the discriminant, which is defined as b^2 - 4ac, if ax^2 + bx + c = 0.  In this case, a = 1, b = -2 and c  = -8, so that the discriminant value is

(-2)^2 - 4(1)(-8), or 4 + 32  =  36.

Because the discriminant is real and positive, we know for certain that we have two real, unequal  roots

Answer Link

Otras preguntas

what is the range of 14 and 25
evaluate the expression when =c3 and =x−2 . −c4x
Which of the following is a good description of wellness? a. emotional health is the most important component of wellness. b. wellness is related to balanced
how did francis cabot lowell begin to transform the role of women in the united states
Juan tiene la pelota. Juan ______ tiene. lo la les las los
Which map element helps determine the real distance between locations on a map? compass rose inset map legend scale
What is the degree of this polynomial?
the equation of a line is y = mx 1. what is the value of m (the slope) if the line passes through point a(−2, −3)
-12x=-75-11y -5x=-89-11y
find the balance in the account. $2,400 principal earning 2%, compounded annually, after 7 years $2,736.00 $2,756.85 $307,200.00 $17,136.00