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pentagon [3]
3 years ago
14

Solve |x|=5 A{-5} B{5} C{-5,5}

Mathematics
2 answers:
vaieri [72.5K]3 years ago
5 0

Answer:

x=-5\quad \mathrm{or}\quad \:x=5

C is your answer

Step-by-step explanation:

\left|x\right|=5\\\mathrm{Apply\:absolute\:rule}:\quad\mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\x=-5\quad \mathrm{or}\quad \:x=5

ExtremeBDS [4]3 years ago
5 0
C is your answer
use absolute value
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Through zero property we know that the factor (x-3) can be equal to zero as well as (x+4). This is because, even if only one of them is zero, the product will immediately be zero.

The zero product property is best applied to factorable quadratic equations in this case.

Another factorable equation would be 2x^{2}+6x=0 since we can factor out 2x and end up with 2x(x+3)=0. Now we'll end up with two factors, 2x and (x+3), which we can apply the zero product property to.

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