2nd degree equations - Delta: Algorithms

2nd degree equations

Solve a 2nd degree equation using the quadratic formula

Preview of this algorithm

Variable

Ask for a with default 1

Variable

Ask for b with default 7

Variable

Ask for c with default 12

Structure

If a != 0

Variable

Set Δ to b ^ 2 - 4ac

Variable

Set α to (-b) / (2a)

Variable

Set β to (-Δ) / (4a)

Output

Print text f(x) = "ax ^ 2 + bx + c"

Output

Print text f(x) = "a(x - α) ^ 2 + β"

Output

Print variable Δ

Structure

If Δ = 0

Variable

Set x_0 to α

Output

Print variable x_0

Output

Print text f(x) = "a(x - x_0) ^ 2"

Structure

Else

Variable

Set x_1 to (-b - √(Δ)) / (2a)

Variable

Set x_2 to (-b + √(Δ)) / (2a)

Output

Print variable x_1

Output

Print variable x_2

Output

Print text f(x) = "a(x - x_1)(x - x_2)"

Structure

End

Structure

End