History of algebra

Question 1

Constitution of theory if quadratic equations

Answer 1

Al Khwarizmi

Question 2

Solution of cubic eqns

Answer 2

Omar al Khayyam

Question 3

Intro and dev of algebraic symbolism

Answer 3

Al Karaji and Al Samawal

Question 4

Calculation by completion and balancing book

Answer 4

9th cent
Described art of finding value of unknown quantity in equations by rearranging terms

Was written without symbols, numbers are spelled out in words

Question 5

Shay

Answer 5

Thing

Question 6

Kaab

Answer 6

Cube

Question 7

Jidhr

Answer 7

Root

Question 8

Mal

Answer 8

Good

Question 9

Al jabr

Answer 9

Restoring or completion

Removing negative units, roots and squares from the equation by adding same quantity on both sides

Question 10

Muqabala

Answer 10

Balancing

Bringing quantities of same type to one side of equation

Question 11

How many equations

Answer 11

6

didnt deal with negative numbers
Even coefficients must be positive

Question 12

Ibn Turk

Answer 12

Logical necessities in mixed equations

He dealt with al khwarizmi’s 1st, 4th, 5th , 6th

Question 13

Ibn al banna

Answer 13

Tried to reduce 6 eqns into the form (x+a)^2 = c