Solving Equations Using Square Roots

The video tutorial teaches how to solve equations of the form x squared equals p, using a real-world example of a garden. It explains the process of isolating the variable by taking the square root and highlights the importance of considering both positive and negative solutions. The tutorial also reviews algebraic notation for expressing solutions.

What is the first step in solving an equation like x squared equals p?

• Subtract x from both sides

• Add p to both sides

• Isolate the variable

• Multiply both sides by x

If x squared equals 49, what is the value of x?

• x = 8

• x = 5

• x = 7

• x = 6

Why is negative 7 not a valid solution for the garden problem?

• Negative 7 is not a rational number

• The garden cannot have a negative side length

• Negative numbers are not allowed in equations

• Negative 7 does not equal 49

What does the plus or minus symbol indicate in the solution of x squared equals p?

• The solution is zero

• The solution is undefined

• Both positive and negative solutions are possible

• Only positive solutions are possible

In algebra, if x squared equals p, what are the possible values of x?

• x equals both the positive and negative square roots of p

• x equals the negative square root of p

• x equals the square root of p

• x equals zero