CALCULATOR
Completed-Square Constant for a x²+b x+c Calculator
Completed-Square Constant for a x²+b x+c. Example: A: 1 number, B: 4 number, C: 7 number gives 3 number. Real numeric coefficients a>0; no symbolic algebra parser. Original useful product scope; historical catalog title does not grant missing modes or source parity.
Real numeric coefficients a>0; no symbolic algebra parser. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Expand completed square and solve for remaining constant.
Accepted inputs: A: 0.1 to 100 number; B: -100 to 100 number; C: -100 to 100 number.
How the calculation works
a(x+b/(2a))²+k; k=c-b²/(4a)
Worked example
With a 1 number, b 4 number, c 7 number, completed-square constant for a x²+b x+c is 3 number.
Assumptions and limits
Real numeric coefficients a>0; no symbolic algebra parser. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Expand completed square and solve for remaining constant.