For the quadratic equation
#ax^2+bx+c=0#
the formula for the roots is
#x=(-b+-sqrt(b^2-4ac))/(2a)#
#(1)" "# Identify the values for #a,b,&" "c#
#x^2+4x+3=0#
cmp
#ax^2+bx+c=0#
#color(red)(a=1)#
#color(blue)(b=4)#
#color(green)(c=3)#
#(2)" "#Substitute these numbers into eh formula
#x=(color(blue)(-4)+-sqrt(color(blue)(4^2)-(4xxcolor(red)(1)xxcolor(green)(3))))/(2xxcolor(red)(1))#
#(3)" "#Carefully proceed and do the calculations
#x=(-4+-sqrt(16-12))/2#
#x=(-4+-sqrt4)/2#
#x=(-4+-2)/2#
now calculate the two separate solutions
#x_1=(-4+2)/2=-2/2=-1#
#x_2=(-4-2)/2=-6/2=-3#
