교과서 질문
Use the method described in Exercises 83–86, if applicable, and properties of absolute value to solve each equation or inequality. (Hint: Exercises 99 and 100 can be solved by inspection.) | 3x2 - 14x | = 5
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1. Equations & Inequalities
The Quadratic Formula
Multiple Choice
Which mathematician is most commonly credited with introducing a general method equivalent to the modern quadratic formula for solving equations of the form ?
A
Isaac Newton
B
Pythagoras
C
Pierre de Fermat
D
Muhammad ibn Musa al-Khwarizmi
검증된 단계별 안내1
Recognize that the problem is asking about the historical origin of the quadratic formula, which is used to solve equations of the form \(a x^{2} + b x + c = 0\).
Understand that the quadratic formula provides a general method to find the roots of any quadratic equation by expressing \(x\) in terms of \(a\), \(b\), and \(c\).
Recall that Muhammad ibn Musa al-Khwarizmi, a Persian mathematician from the 9th century, is widely credited with developing systematic methods for solving quadratic equations, which laid the foundation for the quadratic formula.
Note that other mathematicians listed, such as Isaac Newton, Pythagoras, and Pierre de Fermat, contributed to mathematics in different areas but are not primarily known for introducing the quadratic formula.
Therefore, the correct historical attribution for the general method equivalent to the modern quadratic formula is Muhammad ibn Musa al-Khwarizmi.
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