Convert the given flowchart into pseudocode to find the roots of a quadratic equation.

The flowchart describes a program that calculates the roots of a quadratic equation using the quadratic formula. It takes three inputs: $a$, $b$, and $c$. It first calculates the discriminant $D = b^2 - 4ac$. Then, it checks if $D < 0$. If $D < 0$, it prints "NO real solution". If $D \ge 0$, it calculates two roots, $X_1$ and $X_2$, and then prints them.

Each symbol in the flowchart corresponds to a specific pseudocode construct.

• Start and Stop correspond to Begin and End.
• Enter a, b, c corresponds to Input a, b, c.
• D = b*b - 4*a*c corresponds to an assignment statement.
• The diamond shape Is D < 0 corresponds to an If-Else statement.
• Print "NO real solution" corresponds to a Display statement.
• The formulas for $X_1$ and $X_2$ correspond to assignment statements. Note that the formulas in the flowchart are written as $X_1 = (-b + \text{square root } D)/2=a$ and $X_2 = (-b - \text{square root } D)/2=a$. This seems to be a slight error in the flowchart, as the denominator for the quadratic formula is $2a$, not just $2=a$. I will interpret it as $2 \times a$.
• Print X1, X2 corresponds to a Display statement.

Begin
  Input a, b, c
  D = (b * b) - (4 * a * c)

  If D < 0 Then
    Display "NO real solution"
  Else
    X1 = (-b + square_root(D)) / (2 * a)
    X2 = (-b - square_root(D)) / (2 * a)
    Display X1, X2
  End If
End

The pseudocode corresponding to the flow chart is:

Begin
  Input a, b, c
  D = (b * b) - (4 * a * c)

  If D < 0 Then
    Display "NO real solution"
  Else
    X1 = (-b + square_root(D)) / (2 * a)
    X2 = (-b - square_root(D)) / (2 * a)
    Display X1, X2
  End If
End