Question

Find the discriminant and use it to determine if the solution has one real, two real, or two imaginary solutions.
x^2+4x=1=0
SHOW WORK Find the discriminant and use it to determine if the solution has one real, two real, or two imaginary solutions.
x^2+4x=1=0
SHOW WORK @Mathematics

Answer 1

From x^2+4x+1, we see that a = 1, b = 4, and c = 1. Plug these into the discriminant formula D=b^2-4ac to get



D=b^2-4ac



D=(4)^2-4(1)(1)



D=16-4(1)(1)



D=16-4



D=12



So the discriminant is D=12



Since the discriminant is greater than zero, this means that there are two real solutions.