Question

Show that if m×n=1 then m=n=1 or m=n=-1

205

likes

1025 views

Answer to a math question Show that if m×n=1 then m=n=1 or m=n=-1

$Expert avatar$

Hermann

4.6

128 Answers

Given that

m \times n = 1

, we want to show that

m = n = 1

m = n = -1

.

Let's assume that

and

are integers.

If

m = 1

and

n = 1

, then

m \times n = 1 \times 1 = 1

, which satisfies the given condition.

If

m = -1

and

n = -1

, then

(-1) \times (-1) = 1

, which also satisfies the given condition.

Let's consider the case where

and

are not both equal to 1 or both equal to -1.

Assume without loss of generality that

m = 1

and

n = -1

. Then we have

m \times n = 1 \times (-1) = -1 \neq 1

.

Therefore, the only solutions for

m \times n = 1

are

m = n = 1

m = n = -1

.

\textbf{Answer:}

m = n = 1

m = n = -1

Frequently asked questions (FAQs)

What are the x-intercepts of the quadratic function y = 2x² - 3x + 1?

What is the value of sinh(2) + cosh(3) - tanh(1) in hyperbolic functions?

What is the equation of the exponential function that passes through (1, 5) and (3, 45)?

New questions in Mathematics

A normally distributed population has a mean of 118 with a standard deviation of 18. What score separates the lowest 72% of the distribution from the rest of the scores?

What payment 7 months from now would be equivalent in value to a $3,300 payment due 23 months from now? The value of money is 2.7% simple interest. Round your answer to 2 decimal places. Show all work and how you arrive at the answer..

7273736363-8

what is the annual rate on $525 at 0.046% per day for 3 months?

4x-3y=5;x+2y=4

7/6-(-1/9)

The durability of a tire of a certain brand is a Normal random variable with an average of 64,000 km and a standard deviation of 9,000 km. Assuming independence between tires, what is the probability that the 4 tires on a car will last more than 58,000 km?

show step by step simplification: (¬𝑑∨((¬b∧c)∨(b∧¬c)))∧((𝑎 ∧ 𝑏) ∨ (¬𝑎 ∧ ¬𝑏))∧(¬𝑐∨((¬𝑑∧𝑎)∨(𝑑∧¬𝑎)))

John he’s going to the carnival with his friends. He spends $25 on an admission ticket. He buys 10 games at X dollars each and two boxes of popcorn at Y dollars each. Write an expression to show the total cost of admission game, tickets and popcorn.

The two sides of the triangle are 12 cm and 5 cm, and the angle between the sides is 60°. Cover the area of the triangle!

1. A capital of $3,831 was lent, and it has produced interest of $840 from 05-12-2022 to 1-12-2023. At what annual simple interest rate was the capital lent?

Two particles of electrical charges Q1=3.8×10-⁶C and q,=4.4×10-⁶C are separated in vacuum by a distance of 4.0.10-⁸ m. Since K=9.0.10⁹ N.m²/C², the intensity of the interaction force between them, in newtons, is?

48 kg of 30% sulfuric acid in a mixture of 10% and 40% sulfuric acid arose. How many kilograms were each of the original solutions?

A 20,000 kg school bus is moving at 30 km per hour on a straight road. At that moment, it applies the brakes until it comes to a complete stop after 15 seconds. Calculate the acceleration and the force acting on the body.

What is the total amount due and the amount of interest on a 3-year loan of $1,000 at a simple interest rate of 12% per year?

If sin A=0.3 and cos A=0.6, determine the value of tan A.

x²-7x+12=0

9n + 7(-8 + 4k) use k=2 and n=3

12[4 + (8 + 7) + 5]

Mark is gluing a ribbon around the sides of a picture frame. The frame is 11 inches long and 7 includes wide. How much ribbon does Mark need?

Show that if m×n=1 then m=n=1 or m=n=-1

Answer to a math question Show that if m×n=1 then m=n=1 or m=n=-1

You might be interested in