Final answer:
To solve rational equations, find a common denominator and simplify the expressions.
Step-by-step explanation:
To solve the rational equations, we need to find a common denominator and then add or subtract the rational expressions. The common denominator in this case is 2. So, we can rewrite the expression as ((2/√2) + (1/√2))/2. Simplifying this expression, we get (3/√2)/2, which can be further simplified as 3/(2√2).
For the second part of the equation, we have (2x + 7)/(x + 5). Multiplying the numerator and denominator of this expression by (x + 2)(x - 5), we get ((2x + 7)(x + 2)(x - 5))/((x + 2)(x - 5)).
Adding the two rational expressions together gives us (3/(2√2)) + (((2x + 7)(x + 2)(x - 5))/((x + 2)(x - 5))).
Learn more about Solving rational equations