What method would you choose to solve the equation 2x² - 7 = 9? Explain why you chose this method.

Solution:

2x² - 7 = 9 

It can be written as

2x² - 7 - 9 = 0

2x² - 16 = 0

Taking the common terms out

2(x² - 8) = 0 (Equation is binomial)

If one of the factors is zero, the product is equal to zero

2≠0 

So x² - 8 = 0

x² = 8

x = ±√8

x = ± 2√2

Therefore, isolating the variable using the factoring method can be used to solve the equation 2x² - 7 = 9.

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What method would you choose to solve the equation 2x² - 7 = 9? Explain why you chose this method.

Summary:

The factoring method can be chosen to solve the equation 2x² - 7 = 9. It is one of the easiest methods as we can isolate the variable by factoring out the GCF and obtain the values.