Copyright

Solve by using the square root property.

{eq}\displaystyle 2 (x + 7)^2 = 40 {/eq}

Question:

Solve by using the square root property.

{eq}\displaystyle 2 (x + 7)^2 = 40 {/eq}

Solving Equations using Square Roots

Equations with terms raised to the second-degree exponent requires square roots to be solved. By using a square root, this cancels out the square exponent and it becomes a linear equation which is solvable by transposition and basic arithmetic.

Answer and Explanation: 1

Become a Study.com member to unlock this answer!

View this answer

We are given the equation:

{eq}2 (x + 7)^2 = 40 {/eq}

First, we need to divide both sides by 2 to apply the square root on a single term. After...

See full answer below.


Learn more about this topic:

Loading...
Simplifying Square Roots When not a Perfect Square

from

Chapter 4 / Lesson 3
40K

When numbers are not perfect squares, their square roots can be challenging, however, it is possible to simplify square roots to make the square roots easier to see and use. Dive into ways the rules of mathematics are used to define perfect and imperfect squares and learn how to evaluate the square root of an imperfect square.


Related to this Question

Explore our homework questions and answers library