Mathematics

Quadratic formula

For equation in the form of ax² + bx + c = 0, the values of x which serves the solutions of equation is given by:

Factoring

The commonly used fundamental tools for using factorization method is addition, subtraction, multiplication, and division.

Completing the square

For equation in the form of ax² + bx + c = 0, its square can be given in the form of a(x+d)² + e = 0. Where d = b/2a and e = c – b²/4a

Discriminant

For equation in the form of ax² + bx + c = 0, its discriminant is given by b² - 4ac. If D > 0, then equation has 2 real solutions; If D = 0, the equation has 1 real solution; If D < 0, the equation has 2 conjugate imaginary solutions. The value of x for solution of given equation is given by ((-b±√D))/2a