Answer:
al-Khawarzmi.
Step-by-step explanation:
Muhammad ibn Musa al-Khawarzmi born in c. 780 in Khwarezm, was known to be a famous Persian polymath with great works in various fields such as geography, astronomy and mathematics. One of the notable position held by al-Khawarzmi is being appointed as head of the library of the House of Wisdom in Baghdad, Iraq.
Basically, in his work titled "The Compendious Book on Calculation by Completion and Balancing" he introduced the first solution to linear and quadratic equation by using the completing the square method. Consequently, he is considered to be the father of algebra based on the introduction of the reduction and balancing methods for solving algebraic equations.
Hence, al-Khawarzmi was the Muslim to form the concept of algebra with respect to his book titled "Hisab Al-jabr w'al-muqabala."