Question

Solve the equation. A/a+3=2a/a-3-1

Answer 1

hello here is a solution : 

Answer 2

Answer:

a = -1

and a ≠ -3 , 3

Step-by-step explanation:

Given Equation :

$\frac{a}{a+3}=\frac{2a}{a-3}-1$

We need to solve the given equation.

Clearly given equation has 2 rational terms.

We know that Denominator of rational Numbers can not be equal to 0.

So, a + 3 ≠ 0 ⇒ a ≠ - 3    and a - 3 ≠ 0 ⇒ a ≠ + 3

⇒ a can not be equal to 3 and -3.

Now Consider,

$\frac{a}{a+3}=\frac{2a}{a-3}-1$

$\frac{a}{a+3}=\frac{2a-(a-3)}{a-3}$

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

$\frac{a}{a+3}=\frac{a+3}{a-3}$

$a(a-3)=(a+3)(a+3)$

$a^2-3a=a^2+2(a)(3)+(3)^2$

$a^2-3a=a^2+6a+9$

$6a+3a=-9$

$9a=-9$

$a=-1$

Therefore, a = -1