# Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 9

## Murray R. Spiegel: Mathematical Handbook of Formulas and Tables: Chapter 9

Published $\text {1968}$

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## $9 \quad$ Solutions of Algebraic Equations

### Quadratic Equation $a x^2 + b x + c = 0$

$9.1$: Solution to Quadratic Equation
$9.1.1$: Solution to Quadratic Equation
$9.1.2$: Solution to Quadratic Equation with Real Coefficients
$9.2$: Relationships between Roots
$9.2.1$: Sum of Roots of Quadratic Equation
$9.2.2$: Product of Roots of Quadratic Equation

### Cubic Equation $x^3 + a_1 x^2 + a_2 x + a_3 = 0$

Cubic Equation
$9.3$: Solutions to Cubic Equation
$9.3.1$: Cardano's Formula
$9.3.2$: Discriminant of Polynomial: Cubic Equation
$9.3.3$: Cardano's Formula: Real Coefficients
$9.4$: Cardano's Formula: Trigonometric Form
$9.5$: Viète's Formula for Cubic Equation

### Quartic Equation $x^4 + a_1 x^3 + a_2 x^2 + a_3 x + a_4 = 0$

Quartic Equation
$9.6$, $9.7$: Ferrari's Method
$9.8$: Viète's Formula for Quartic Equation

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