Submit your answers using only one file as Your Name.pdf (Hint: you can add your answers "two charts" to a word document then save as pdf) Question 1: (5 points) Draw a flow chart to find all the roots of a quadratic equation a x +bx+c= 0 (where a , b, c are real numbers and a can't be 0 ) A quadratic equation with real numbers as coefficients can have the following: 1. Two different real roots if the discriminant b2 - 4 xa xc is a positive number. -b - Vb2 - 4ac x1 = -b + b2 - 4ac 2a x2 = 2a 2. One real root if the discriminant b2 - 4 xa xc is equal to 0. x = za 3. No real root if the discriminant b2 - 4 xa xc is a negative number. Question 2: (5 points) Draw a flow chart to check if the given number is a perfect number or not (i.e. A Perfect number is a positive integer that is equal to the sum of its proper divisors). For example: The smallest perfect number is 6, which is the sum of 1, 2, and 3. Other perfect numbers are 28, 496, and 8,128