La méthode d'Al Khwarizmi Au ixe siècle, le mathéma-
ticien arabe Al Khwarizmi
(dont le nom est à l'origine
du mot « algorithme ») a
utilisé une méthode géo-
métrique pour trouver
une solution de l'équation
x²+10x = 39.
On construit un carré de
côté x.
On borde ce carré de deux
rectangles dont l'aire est
10x/2
On complète le grand carré.
L'ensemble a pour aire x² +10x + 25, soit 39 + 25 = 64.
Ainsi, le grand carré a pour côté 8.
x vaut donc 3.
1. À l'aide de la méthode d'Al Khawarizmi, résoudre
l'équation x² + 12x = 85.
2. Faire de même avec l'équation x² + 2x = 8.

The class wants to raise a total of $750.if they receive a profit of $1.25 from each candybar sold, how many bars must they sell to reachtheir goal

The blue whale is the largest animal living on the earth. the average blue whale measures 100 feet long (30 meters) and weighs 300,000 pounds (136,000 kilograms). a whale’s head is 1⁄3 of the length of its body. a new baby whale is 1⁄4 the length of a grown whale. the average man is 1⁄17 the length of a blue whale, and 1⁄1,818 its weight. a human baby measures 1⁄4 of the length of an adult. calculate the following information: how long is a whale’s head? how long is a new baby whale? how tall is the average man? how much does the average man weigh? how tall is the average human baby?

To solve the system of equations below, grace isolated the variable y in the first equation and then substituted into the second equation. what was the resulting equation? 3y=12x x^2/4+y^2/9=1