2x {}^(2) + y {}^(2) / 3if x=1.5 and y=3

Question

`2x {}^(2) + y {}^(2) / 3`if x=1.5 and y=3

Answer 1

To obtain the equivalent value of the expression, the following steps are necessary:

Step 1: Rewrite the expression and substitute the value of x and y, as follows:

`\frac{2x^2+y^2\text{ }}{3}`

Now, since x = 1.5 and y = 3, we have:

`\begin{gathered} \frac{2x^2+y^2\text{ }}{3} \\ \Rightarrow\frac{2(1.5)^2+(3)^2\text{ }}{3} \\ \Rightarrow\frac{2(2.25)^{}+(9)^{}\text{ }}{3} \\ \Rightarrow\frac{4.5^{}+9^{}\text{ }}{3} \\ \Rightarrow\frac{13.5^{}\text{ }}{3} \\ \Rightarrow4.5 \end{gathered}`

Therefore, the equivalent value of the expression is 4.5