Question

HELPPPPP :Expressions: Multiple choice: picture provided. With questions and answer choices. USA test prep question

Answer 1

Option B:

`$x=\pm 2(1)/(2)`

Solution:

Given expression:

`$3 x^(2)=18 (3)/(4)`

To find the value of x:

`$3 x^(2)=18 (3)/(4)`

Convert mixed fraction into improper fraction.

`$3 x^(2)= (18* 4+3)/(4)`

`$3 x^(2)= (75)/(4)`

Divide by 3 on both sides of the equation, we get

`$x^(2)= (25)/(4)`

`$ x^(2)= (5^2)/(2^2)`

Taking square root on both side of the equation.

`$\sqrt{ x^(2)}= \sqrt{(5^2)/(2^2)}`

`$ x=\pm (5)/(2)`

Convert improper fraction into mixed fraction.

`$x=\pm 2(1)/(2)`

Hence option B is the correct answer.