Final answer:
To solve the equation 72 = 2x², divide both sides by 2 and then take the square root to find x = ±6.
Step-by-step explanation:
To solve the equation 72 = 2x², we need to isolate x on one side. To do this, we divide both sides by 2 to get x² = 36.
Creating an equation for the situation requires understanding the elements presented.
In some cases, we might have to expand an expression and multiply both sides by a denominator to get an equation that we can rearrange into a quadratic equation. Once we have the quadratic equation, we can again apply the quadratic formula to find the solution for x.
Then, we take the square root of both sides to find x.
The square root of 36 is 6, so x = ±6.