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The quadratic formula is used to find the roots of a quadratic equation and is given by x = (-b ± √(b² - 4ac)) / (2a).
The properties of exponents include rules such as a^m * a^n = a^(m+n) and (a^m)^n = a^(mn), which are essential for simplifying expressions.
The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.
Key properties of logarithms include log_b(mn) = log_b(m) + log_b(n) and log_b(m/n) = log_b(m) - log_b(n), which help in solving logarithmic equations.
The distance formula d = √((x₂ - x₁)² + (y₂ - y₁)²) calculates the distance between two points in a Cartesian plane.
The midpoint formula M = ((x₁ + x₂)/2, (y₁ + y₂)/2) finds the midpoint between two points in a coordinate system.
The compound interest formula A = P(1 + r/n)^(nt) and continuous interest formula A = Pe^(rt) are used to calculate future values based on principal, rate, and time.
