Use the discriminant to describe the number of solutions of the equation 2x^2+5x−12=0 Multiple choice question.

A)
The discriminant is 121, and the equation has two real, rational roots.

B)
The discriminant is 121, and the equation has one real, rational root.

C)
The discriminant is –71, and the equation has two real, irrational roots.

D)
The discriminant is –71, and the equation has two complex roots.

a = 2

b = 5

c = -12

The discriminant is sqr root (b^2 - 4*a*c)

= sqr root (25 -4 * 2 * -12)

= sqr root (25 + 96)

= sqr root (121)

Answer is A)

Step-by-step explanation:

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: