pandapractice9988 pandapractice9988

22-03-2022
SAT

contestada

How many solutions are there to the equation \[ |x| = -\dfrac 1 2 x + 4?\]

Respuesta :

funnyrAR funnyrAR

01-04-2022

Answer:

-1

Explanation:

We have been given an equation . We are asked to find the solutions of our given equation.First of all, we will cross multiply our given equation as:Subtract from both sides:Now we will factor out .Now we will factor by splitting the middle term. Now we will use zero product property and solve for x as:Now, we will check for extraneous solutions.We can see that will make both denominators zero because our function is not defined at .Therefore, the solution for our given equation is .

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