x^2/x+3 - 5/x+3=0
*Please solve the rational equation
Your non use of parenthesis is annoying and most confusing.
I assume you meant
x^2/(x+3) - 5/(x+3)=0
multiply both sides of the equation by x+3, and solve.
To solve the equation:
x^2/(x+3) - 5/(x+3) = 0
1. Multiply both sides of the equation by (x+3) to eliminate the denominator.
(x+3) * (x^2/(x+3) - 5/(x+3)) = (x+3) * 0
Simplifying both sides:
x^2 - 5 = 0
2. Rearrange the equation to be in the standard quadratic form, ax^2 + bx + c = 0.
x^2 - 5 = 0 => x^2 = 5
3. Take the square root of both sides to solve for x. Don't forget to consider both positive and negative square roots.
x = ±√5
So the solution to the rational equation is x = ±√5.