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

Oxygen is released as a waste product by plants during the process of _______. Animals takes in this oxygen and releases it as _______ during the process of ___
how do you write 2,049,000 in expanded form
the region of flat land down by the ocean
members of which phylum contain stinging capsules that poison the entangled prey
F=3gh+7c solve for g
_____ occurs when light changes direction after colliding with particles of matter
Is Charles David Waller in WW1
solve please?xd=y(L-d)please explain the steps also
Mrs. Jennings had a 5/7 gallon of paint. She gave 1/7 gallon each to some students. How many students received paint if Mrs. Jennings gave away all the paint?
What mass of water will fill a tank that is 100.0 cm long, 50.0 cm wide, and 30.0 cm high? Express the answer in grams.