how many solutions are there to the equation 0.2x^2+12x+11=0 and how do you know

Question

how many solutions are there to the equation  0.2x^2+12x+11=0 and how do you know

anonymous · Answer

There are two possible solution of the above equation since it is a quadratic equation.the highest power of x will decide about the number of solutions

anonymous · Answer

D=144-(4*0.2*11)  >0 roots are real and distinct

anonymous · Answer

What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?

anonymous · Answer

roots are [-12+sqrt(135.2)]/0.4 and [-12-qrt(135.2)]/0.4

anonymous · Answer

since a>0 and D>0 the solution makes sense and the graph will be open mouthed "U" parabola cutting x axis at two distinct points

anonymous · Answer

2 equations since this is a quadratic equation. quadratic equation has a general formula of $$ax^2+bx+c=0$$