Quadratic equation is ax² + bx + c = 0, where a ≠ 0. Roots are values of x that satisfy the equation. Complete quadratic equation has b ≠ 0, pure quadratic has b = 0
Babylonians were first to solve quadratic equations. Brahmagupta (598-665) gave explicit formula for ax² - bx = c. Al-Khwarizmi studied quadratic equations in AD 800. Shridharacharya derived standard quadratic formula using completing square
Quadratic equations are second-degree expressions in the form ax² + bx + c = 0. The coefficient of x² must be non-zero (a ≠ 0). The roots of a quadratic equation are represented by (α, β)
Quadratic formula guarantees solution of all quadratic equations. Equation must be in standard form: ax² + bx + c = 0. Word "quadratic" comes from Latin "quadratus" meaning square
Discriminant is a function of polynomial coefficients denoted by D or ∆. Quadratic equation is a second-degree algebraic statement in x. Standard form is a(x²) + bx + c = 0
Quadratic equation is ax² + bx + c = 0, where a ≠ 0. Roots are values of x that satisfy the equation. Maximum possible roots are two real numbers