Question

I really need help here I am super confused

Which of the following steps can be performed so that the square root property may easily be applied to 2x^2=16?(1 point)
The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is​ 16, so divide both sides by 2 before applying the square root property.
The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is​ x, so divide both sides by 2 before applying the square root property.
The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is​ 16, so divide both sides by 16 before applying the square root property.
The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is​ x, so divide both sides by 16 before applying the square root property.
Which of the following steps would not be necessary when using the square root property to solve a quadratic​ equation?(1 point)
The square root property may be applied only if the constant is positive.
Isolate the quantity being squared.
After applying the square root​ property, solve the resulting equations. When taking the square root of both​ sides, use ± on the square root of the constant.

Answer 1

The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is​ x, so divide both sides by 2 before applying the square root property.

Explanation:

In the above question, we are given the expression: 2x^2=16 and we are asked the proper way to apply the square root property.

2x² = 16 is an algebraic equation

To apply square root property to an expression, there must be only one quantity that is squared.

Step 1

We divide both sides by 2

This is because we have to first eliminate the coefficient of x

2x²/2 = 16/2

x² = 8

Step 2

Now that we have eliminated the coefficient of x², we can apply the square root property now because x is the only quantity that is squared.

√x² = √8

x = √8

Therefore, Option 2 which says: "The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is​ x, so divide both sides by 2 before applying the square root property." is the correct option