Question

A number is multiplied by itself the product is 5,4/9 find the number

Answer 1

Answer:

-180

Step-by-step explanation:

let the no. be x

x × x = 5 4/ 9

5 4/9 = 40/9

x

${x}^{2} = \frac{40}{9} \\ {x}^{2} = 40 \times - 9 \\ {x}^{2} = - 360 \\ x = \frac{360}{ - 2} \\ x = - 180$

Answer 2

The number is either 7/3 or -7/3.

Given,

When a number is multiplied by itself, the product is 5 4/9.

To Find,

The number which is multiplied by itself.

Solution,

We can solve this problem using a simple method.

We have been given that a number is multiplied by itself to get a product of 5 4/9.

Let the number be x.

⇒ x * x = 5 4/9

⇒ x² = 5 4/9

Let this be equation (1).

Square of a number:

• An number multiplied by itself results in a square number.
• A number raised to the power of 2 is always used to represent the square term.

Here, equation (1) is a quadratic equation in one variable.

We can solve this equation for x to get the required number.

⇒ x² = 5 4/9

⇒ x² = 49/9

⇒ x = ± √(49/9)

⇒ x = ± √(49)/√(9)

⇒ x = ± 7/3

Hence, the number is either 7/3 or -7/3.

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