Question

I need help with this please 4x^2 - 18 = 82

Answer 1

Given the following equation:

$4x^2-18=82$

if we add 18 on both sides, we get:

$\begin{gathered} 4x^2-18+18=82+18 \\ \Rightarrow4x^2=100 \end{gathered}$

next, we can divide both sides by 4 to get the following:

$\begin{gathered} (4x^2=100)(\frac{1}{4}) \\ \Rightarrow\frac{4}{4}x^2=\frac{100}{4} \\ \Rightarrow x^2=25 \end{gathered}$

finally, we can apply the square root on both sides of the equation to find the values of x:

$\begin{gathered} \sqrt[]{x^2}=\sqrt[]{25} \\ \Rightarrow x=\pm5 \end{gathered}$

therefore, x = 5 and x = -5