Mathematics: Will give abrainlest and 50pts which solution to the equation 3/a+2 + 2/a = 4a-4/a^2-4 is extraneous? a= -2 a= -2 and a= 4 neither a= -2 and a= 4 a= 4

question?Step-by-step explanation:...

Will give abrainlest and 50pts which solution

zmoore8015

15.03.2022

a=-2 is extraneous solution.

Step-by-step explanation:

Given the equation

$\frac{3}{a+2}+\frac{2}{a}=\frac{4a-4}{a^2-4}$

we have to find the extraneous solution.

An extraneous solution is a solution to an equation, that emerges from the process of solving the problem but is not a valid solution to the problem.

$\frac{3}{a+2}+\frac{2}{a}=\frac{4a-4}{a^2-4}$

$\frac{3}{a+2}+\frac{2}{a}=\frac{4a-4}{a^2-4}\\\\\frac{3a+2(a+2)}{a(a+2)}=\frac{4(a-1)}{a^2-4}\\\\\frac{5a+5}{a(a+2)}=\frac{4(a-1)}{a^2-4}$

On solving, we get

The solution is a=4 and a=-2

Here the solution a=-2 is the valid solution as it makes the denominator 0.

⇒ a=-2 is extraneous solution.

Option 1 is correct.

0,0(0 оценок)