Math, asked by bhuvi48, 7 hours ago

The product of two rational numbers is −36/49, if one of the number is 9/14, find the other.

Answers

Answered by Anonymous
15

Step-by-step explanation:

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Answered by payalchatterje
0

Answer:

Required value of other number is ( - 1 \frac{1}{7} )

Step-by-step explanation:

Given,

product of two rational numbers is  -  \frac{36}{49} and one number is  \frac{9}{14}

Now we want to find another number.

Let the another number be x.

According to question,

 \frac{9}{14}  \times x =  -  \frac{36}{49}  \\  \frac{9x}{14}  =  -  \frac{36}{49}

By cross multiplication,

9x \times 49 =  - (14 \times 36) \\ x =  -  \frac{14  \times 36}{9 \times 49} \\ x =  -  \frac{2 \times 4}{7}   \\ x =  -  \frac{8}{7}  \\ x =  - 1 \frac{1}{7}

This is a problem of Algebra.

Some important Algebra formulas.

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Know more about Algebra,

1) https://brainly.in/question/13024124

2) https://brainly.in/question/1169549

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