Understanding Square Roots and Equations

The video tutorial explains how to solve an equation involving a square root. Initially, it addresses the misconception that a negative under the square root means no solution. The solution involves squaring both sides of the equation to eliminate the square root, resulting in x = -16. The tutorial then verifies the solution by substituting -16 back into the original equation, confirming that the solution is correct.

What is a common misconception about equations involving square roots?

• They can only be solved by addition.

• Negative numbers cannot be under a square root.

• They always have a solution.

• They are always quadratic equations.

What is the first step in solving the equation with a square root?

• Add 4 to both sides.

• Divide both sides by 2.

• Subtract 4 from both sides.

• Square both sides of the equation.

After squaring both sides, what is the value of x before considering the sign?

• -16

• 16

• 0

• 4

What operation is performed to find the final value of x?

• Multiply both sides by -1.

• Divide both sides by 2.

• Subtract 1 from both sides.

• Add 1 to both sides.

How is the solution verified in the final step?

• By checking if x equals 0.

• By substituting x back into the original equation.

• By solving a different equation.

• By graphing the equation.