Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
Answer:
x = -1/2.
Step-by-step explanation:
x^2 - 4 = (x - 2)(x + 2) so if we multiply each term by x^2 -4 we get:
2 - 1(x - 2) = 3(x + 2)
2 - x + 2 = 3x + 6
2 + 2 - 6 = 3x + x
4x = -2
x = -1/2.
Answer:
[tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
1. Multiply both sides of the equation by the LCM (x - 2)(x + 2):
[tex]\frac{2}{x^{2} -4} (x-2)(x+2)[/tex]
factor x² - 4 by rewriting it as x² - 2²
x² - 2² = (x + 2)(x - 2)
now we have;
[tex]\frac{2}{(x+2)(x-2)} (x-2)(x+2)[/tex]
cancel the common factors (x - 2)(x + 2)
= 2
-------------------------------
[tex]\frac{-1}{x+2} (x-2)(x+2)[/tex]
cross cancel the common factor (x + 2)
[tex]\frac{-1}{x-2}=-(x-2)=-x+2[/tex]
-------------------------------
[tex]\frac{3}{x-2} (x-2)(x+2)[/tex]
cross cancel the common factor (x - 2)
3(x + 2)
distribute the 3
3x + 6
-------------------------------
combining all new values, we have;
2 + (-x) + 2 = 3x + 6
-x + 4 = 3x + 6
2. Isolate x:
-x + 4-4 = 3x + 6-4
-x = 3x + 2
-x-3x = 3x-3x + 2
-4x = 2
-4x/-4 = 2/-4
x = [tex]-\frac{1}{2}[/tex]
hope this helps!
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.
