find all the real solutions of the equation

Question

find all the real solutions of the equation 2x²+3x+5=0 

does the equation have real solutions?

if the answer is yes, then input the solutions

x1= 

x2=

with x1<x2

Answer 1

2x²+3x+5=0 has solutions by the quadratic formula x=(-3±√(9-4×2×5))/4 =(-3±√(-31))/4

There are no real solutions, since the discriminant is -31, whose square root is imaginary.

Answer 2

b^2 - 4ac = 9 - 4(2)(5) = 9 - 40 = -31

Since the discriminant is negative, the quadratic equation has no real values for its solution. It only has imaginary solutions.