Question

If x=-2
then the value of the expression
5/3 x² + 2 =
​

Answer 1

Answer:

10..

Step-by-step explanation:

5/3X-2x-2+2

5/3x4+2

5/3x6

5x2

10..

Answer 2

Given:

The expression:-

$\sf{\dfrac{5}{3 x^2} + 2}$

where x = -2

What To Find:

We have to solve the expression.

Solution:

$\sf{\dfrac{5}{3 x^2} + 2}$

Substitute the value,

⇒ $\sf{\dfrac{5}{3 \times -2^2} + 2}$

Find the square,

⇒ $\sf{\dfrac{5}{3 \times 4} + 2}$

Multiply the denominator,

⇒ $\sf{\dfrac{5}{12} + 2}$

Take 2 as 2/1,

⇒ $\sf{\dfrac{5}{12} + \dfrac{2}{1}}$

Take the LCM of 12 and 1 i.e. 12,

⇒ $\sf{\dfrac{5}{12} + \dfrac{2 \times 12}{1 \times 12}}$

Multiply,

⇒ $\sf{\dfrac{5}{12} + \dfrac{24}{12}}$

Add the numerator,

⇒  $\sf{\dfrac{29}{12}}$

Convert it into mixed fraction,

⇒ $\sf{2 \dfrac{5}{12}}$

∴ Thus, the value of the given expression is $\bf{2 \dfrac{5}{12}}$.