Question
Show that if m×n=1 then m=n=1 or m=n=-1
205
likes1025 views
Answer to a math question Show that if m×n=1 then m=n=1 or m=n=-1
Hermann
4.6126 Answers
Given that m \times n = 1 m = n = 1 m = n = -1
Let's assume thatm n
Ifm = 1 n = 1 m \times n = 1 \times 1 = 1
Ifm = -1 n = -1 (-1) \times (-1) = 1
Let's consider the case wherem n
Assume without loss of generality thatm = 1 n = -1 m \times n = 1 \times (-1) = -1 \neq 1
Therefore, the only solutions form \times n = 1 m = n = 1 m = n = -1
\textbf{Answer:}m = n = 1 m = n = -1
Let's assume that
If
If
Let's consider the case where
Assume without loss of generality that
Therefore, the only solutions for
\textbf{Answer:}
Frequently asked questions (FAQs)
What is the smallest positive integer value of n in Fermat's Theorem equation a^n + b^n = c^n, where a, b, and c are integers, satisfying the condition a, b, and c < 100?
+
Math question: What is the minimum value of the quadratic function f(x) = x^2 - 4x + 7 within the interval [-2, 5]?
+
Math Question: Determine the value of 'a' in the parabola function y = ax^2, if its vertex is (2, 5) and it passes through the point (1, 3).
+
New questions in Mathematics