Understanding Expressions and Solving for Constants

The video tutorial explains how to express a given equation in terms of a positive constant D. It begins by setting x to a specific value and substituting it into both sides of the equation. The tutorial then guides through solving for D by multiplying binomials, distributing, and isolating D squared. Finally, it calculates D by taking the square root and simplifies the result to find the positive constant value.

What is the form in which the given expression can be rewritten?

• One half x squared minus six

• Two x squared plus six

• Four x squared plus two

• Three x squared minus four

Why is x set to a specific value in the process of solving the expression?

• To eliminate the constant D

• To avoid using fractions

• To make the expression more complex

• To simplify the expression

What is the result of substituting x = 2 into the expression on the right side?

• Three times D

• Two minus six

• Four plus D

• D squared minus four

What operation is performed after distributing one half on the left side?

• Isolating D squared

• Adding two to both sides

• Multiplying by three

• Dividing by four

What is the value of D squared after solving the equation?

• 8

• 6

• 12

• 10

What is the simplified positive value of D?

• Two square root 3

• Square root 6

• Three square root 2

• Square root 10