Solving Equations Using Square Roots (Example)

The video tutorial explains how to solve equations of the form x squared equals a number by taking the square root of both sides. It emphasizes the need to consider both positive and negative solutions. The tutorial demonstrates solving x squared equals 79 and x squared equals 29, showing how to estimate square roots for non-perfect squares and use the plus or minus symbol to represent solutions.

What is the result when you take the square root of both sides of the equation x squared equals 79?

• x equals plus or minus the square root of 79

• x equals 8.89

• x equals 9

• x equals 79

Why is the square root of 79 not a whole number?

• Because 79 is not a perfect square

• Because 79 is a prime number

• Because 79 is a perfect square

• Because 79 is an even number

How can the square root of 79 be approximated?

• By estimating it to be slightly more than 9

• By estimating it to be slightly less than 9

• By estimating it to be exactly 9

• By estimating it to be slightly more than 8

What is the approximate value of the square root of 29?

• Plus or minus 5.59

• Plus or minus 5.49

• Plus or minus 5.29

• Plus or minus 5.39

What is the general form of the solution when taking the square root of both sides of an equation?

• x equals the number itself

• x equals plus or minus the square root of the number

• x equals the negative square root of the number

• x equals the square root of the number