$MathMaster logo$

MathMaster

Home
general
show that if m n 1 then m n 1 or m n 1

Question

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

Name: Solved: Show that if m×n=1 then m=n=1 or m=n=-1 - MathMaster
Brand: MathMaster
Rating: 4.9 (205 reviews)

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

94 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 is the value of sinh(3) - cosh(2)?

What is the measure of the third angle of a triangle if two angles have measures of 45° and 60°?

What is the equation of an exponential function that passes through the points (1, 2) and (3, 16)?

New questions in Mathematics

find the value of the tangent if it is known that the cos@= 1 2 and the sine is negative. must perform procedures.

-x+3x-2,si x=3

Karina has a plot of 5,000 square meters in which she has decided that 60% of it will be used to plant vegetables. Of this part, 12% will be dedicated to planting lettuce. How much surface area of the plot will be used for cultivation?

Given the vectors: a = (2m – 3n, 4n – m) and b = (2, -3), find the values of m and n that make: a = 5 b.

5) A family with a father, mother and 3 children must sit on five chairs in a row and the only restriction is that the mother must be at one end. In how many different ways can they be seated?

(3x^(2) 9x 6)/(5x^(2)-20)

Find the equation of the line perpendicular to −5𝑥−3𝑦+5=0 passing through the point (0,−2)

Is -11/8 greater than or less than -1.37?

(2m+3)(4m+3)=0

On+January+10+2023+the+CONSTRUCTORA+DEL+ORIENTE+SAC+company+acquires+land+to+develop+a+real estate+project%2C+which+prev%C3% A9+enable+50+lots+for+commercial+use+valued+in+S%2F+50%2C000.00+each+one%2C+the+company+has+as+a+business+model+generate+ cash+flow+through%C3%A9s+of+the+rental%2C+so+47%2C+of+the+50+enabled+lots+are+planned to lease+47%2C+and+ the+rest+will be%C3%A1n+used+by+the+company+for+management%C3%B3n+and+land+control

Let f and g be defined in R and suppose that there exists M > 0 such that |f(x) − f(p)| ≤ M|g(x) − g(p)|, for all x. Prove that if g is continuous in p, then f will also be continuous in p.

A diamond ring was reduced from $999.99 to $689.99. Find the percent reduction in the price. Round the answer to the nearest tenth of a percent, if necessary.

2x-5-x+2=5x-11

A post office has three categories of letters: 60% are from businesses, 30% are individual mail, and the remaining 10% are government mail. 5% of the letters from businesses have address errors, 10% of the individual mail has address errors, while 1% of the government mail has address errors. If we receive a letter with an address error, what is the probability that it is individual mail?"

To paint a 250 m wall, a number of workers were employed. If the wall were 30 m longer, 9 more workers would be needed. How many were employed at the beginning?

The perimeter of a rectangular rug is 42 feet. The width is 9 feet. What is the length?

-1/3x+15=18

Carmen's age was twice as old as Luis was when Carmen was Luis's age. When Luis is Carmen's age, their ages will add up to 112.

64-6x^2>0

Write an equation of the affine function whose graph is perpendicular to the graph of f(x) = 5x − 1 and passes through the point (5, 20).

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