For Problems , find all real number solutions for each equation. (Objective 3)
All the real number solutions for the given problem.
i) The Difference of Two Squares pattern is .
ii) Multiplication is commutative, so the order of writing the factors is not important. For example, can also be written as .
iii) if and only if or .
The following steps have been followed to find out the solutions:
Step-1: Find out the common monomial factor and divide out from the equation.
Step-2: Convert the equation from step-1 in the form of 2 squares with subtraction and compare with the difference of two squares pattern.
Step-3: Apply the difference of two squares pattern to the equation available in step-2.
Step-4: Solve the equation and write the solutions set.
1) The given equation is .
The common monomial factor available in the above equation is 8.
So, the equation can be written as, .
Divide both sides of the equation by 8.
2) The above equation can be written as,
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