JEE Mains · Maths · STD 11 - 4.2 Quadratic equations and inequations
The sum of squares of all the real solutions of the equation \(\log_{(x+1)}(2x^2+5x+3) = 4 - \log_{(2x+3)}(x^2+2x+1)\) is equal to ________.
- A 1
- B 2
- C 3
- D 4
Answer & Solution
Correct Answer
(B) 2
Step-by-step Solution
Detailed explanation
For the logarithms to be defined, we must satisfy the following conditions: 1. Base of the first logarithm: \(x+1 > 0 \Rightarrow x > -1\) and \(x+1 \neq 1 \Rightarrow x \neq 0\). 2. Base of the second logarithm: \(2x+3 > 0 \Rightarrow x > -\dfrac{3}{2}\) and…
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