Use the discriminant to answer the questions. 32x - 4 = 4x2 + 60 for the equation shown, choose the description of the solutions. one real, rational two real, rational two real, irrational two complex

One real, rational, Option A

one real solution

Step-by-step explanation:

Use the discriminant to answer the questions. 32x - 4 = 4x^2 + 60

Move all the terms to one side and make right hand side 0

32x - 4 = 4x^2 + 60

subtract 4x^2 from both sides

-4x^2 + 32x -4 = 60

Subtract 60 from both sides

-4x^2 + 32x - 64=0

a= -4, b= 32, c= -64

discriminant is b^2 - 4ac

(32)^2 - 4(-4)(-64)= 1024 -1024=0

Discriminant b^2 - 4ac=0

so the equation has only one real solution

circumference divided by 3.141592654 then timesthe radius twice

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice