Question

Determine the discriminant for the quadratic equation -3 = x^2 + 4x+ 1. Based on the discriminant value, how many real number solutions does the equation have? Discriminant b^2 - 4ac

Answer 1

Hello : 
-3 = x² + 4x+ 1
x²+4x+4=0
a=1 and  b= 4    c= 4 
b^2 - 4ac = (4)²-4(1)(4) =0
one solution : -b/2a = -4/2 = -2
note : x²+4x+4=0
(x+2)² = 0
 x+2 = 0 
 x= -2