The solution and extraneous solution of the equation as given are; x=7 and x=-2 respectively.
<h3>What is the solution of the equation?</h3>
It follows that the equation given is;
(3/(x²+5x+6)) + ((x-1)/(x+2)) = 7/(x+3)
Hence, by multiplying both sides by (x²+5x+6); we have;
3 + x² +2x -3 = 7x + 14.
x²-5x -14 = 0
On this note, the solutions of the quadratic equation are; x =7 and x=-2.
It therefore follows that x= 7 is a solution while x=-2 is an extraneous solution because it renders (x-1)/(x+2) undefined.
Read more on extraneous solution;
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Answer:
<em>162 m2</em>
Step-by-step explanation:
Hope this helped, leave a comment if you need anything else.
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For all x values before 0, the function f(x) = -2
For all values after or equal to 0, the function f(x) = 3.
In the picture, the open circle means the graph does not exist there. The filled in circle means the graph does exist there. The condition for f(x) to equal -2 is for x to be LESS than 0, not equal to 0 so we use the open circle.
Answer:
Refer to the attachment. :)