What is the value of x, when 3x^2=18 3/4? Multiple choice is up above. I promise to mark brainlest!!

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given the numerical equation:

3x^2 = 18 ¾

Determine the value of x.

Solution:
In order to determine the value of x, we must first convert the mixed number into fractions. One trick is  by focusing on the fraction part and adding the quotient to the whole number.

18 ¾

= ¾ 

= 0.75

= 18 + 0.75

= 18.75

3x^2 = 18.75

Divide both sides by 3 in order to cancel out the value of 3x^2.

x^2 = 6.25

Now we need to take the square root of both sides in order to get the value of x. We can designate the application of square root by either using the square root sign or by raising the number to ½

(x^2)^½ = (6.25)^½

x = 2.5

Final answer:

x = 2.5