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If you are solving the equation 1/(x-4)+1=14/(x+2) by factoring, which of the following equations would you use the zero product property on?

(x - 5)(x + 4) = 0
(x - 5)(x - 10) = 0
(x + 5)(x + 10) = 0

User Nero
by
8.1k points

2 Answers

6 votes

Answer:

So, the equation that would be used for the zero product property on will be (x-5)(x-10)=0

Option B is correct.

Explanation:

User Nikolay Gogol
by
7.9k points
4 votes

Answer:

The equation that would be used for the zero product property on will be (x-5)(x-10)=0

Option B is correct.

Explanation:

We need to solve the equation
(1)/((x-4))+1=(14)/(x+2)

Solving the equation:


(1)/((x-4))+1=(14)/(x+2)\\(1+(x-4))/(x-4)= (14)/(x+2)\\(1+x-4)/(x-4)= (14)/(x+2)\\(x-3)/(x-4)= (14)/(x+2)\\Cross\: Multiply\\(x-3)(x+2)=14(x-4)\\x(x+2)-3(x+2)=14x-56\\x^2+2x-3x-6=14x-56\\x^2-x-6-14x+56=0\\x^2-x-14x-6+50=0\\x^2-15x+50=0

Now, we would factorise to find value of x


x^2-15x+50=0\\x^2-5x-10x+50=0\\x(x-5)-10(x-5)=0\\(x-5)(x-10)=0

So, the equation that would be used for the zero product property on will be (x-5)(x-10)=0

Option B is correct.

User Crista
by
8.3k points

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