# Compute the smaller root of a quadratic equation.

###################################################
# Smaller quadratic root formula
# Student should enter function on the next lines.



import math
a=0
b=0
c=0
d=b^2 - 4*a*c
if d>0:
    x = (-b+math.sqrt(b^2 - 4*a*c))/2*a
    y = (-b-math.sqrt(b^2 - 4*a*c))/2*a
    if x>y:
        smaller_root=y
    else:
        smaller_root=x

elif d==0:
    z= (-b+math.sqrt(b^2 - 4*a*c))/2*a
    smaller_root=z
else:
    smaller_root=input("Error")
###################################################
# Tests
# Student should not change this code.

def test(a, b, c):
    """Tests the smaller_root function."""
    
    print "The smaller root of " + str(a) + "x^2 + " + str(b) + "x + " + str(c) + " is:" 
    print str(smaller_root(a, b, c))
        

test(1, 2, 3)
test(2, 0, -10)
test(6, -3, 5)

###################################################
# Expected output
# Student should look at the following comments and compare to printed output.

#The smaller root of 1x^2 + 2x + 3 is:
#Error: No real solutions
#None
#The smaller root of 2x^2 + 0x + -10 is:
#-2.2360679775
#The smaller root of 6x^2 + -3x + 5 is:
#Error: No real solutions
#None

smaller quadratic root formula=(x=(-b))
def test(a, b, c):
    """Tests the smaller_root function."""
    
    print"The smaller root of " +str(a) + "x^2 +" + str(b) +"x + " + str(c) + "is:"
    print str(smaller_root(a, b, c))
    
    
test(2, 0, -10)