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How do you solve #(x - 2)(x - 8) = 0#?

Answer 1

Nathan Axel

#x = 2, 8#

Separate your terms:

#(x - 2) = 0#

Add #2# to each side.

#x = 2#

#(x - 8) = 0#

Add each to each side.

#x = 8#

#x = 2, 8#

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Answer 2

Ethan Adkins

#x=2, 8#

We can use the zero product property here, which states if we have two things being multiplied and they're equal to zero, either one or both of them have to be equal to zero.

In other words, we can set #x-2# equal to zero and #x-8# equal to zero to get

#x=2# and #x=8#

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Answer 3

Hazel Anglin

To solve the equation ((x - 2)(x - 8) = 0):

Use the zero-product property, which states that if the product of two factors equals zero, then at least one of the factors must be zero.
Set each factor equal to zero and solve for (x).

Solve (x - 2 = 0): [x = 2]

Solve (x - 8 = 0): [x = 8]

Therefore, the solutions to the equation ((x - 2)(x - 8) = 0) are (x = 2) and (x = 8).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.