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MathsJEE Main 8 Apr 2026, Shift 2·Q21·Numerical·Moderate

Quadratic Equations · Logarithmic equations

The sum of squares of all real solutions of the equation log⁡(x+1)(2x2+5x+3)=4−log⁡(2x+3)(x2+2x+1)\log_{(x+1)}(2x^2 + 5x + 3) = 4 - \log_{(2x+3)}(x^2 + 2x + 1) is equal to .
We corrected a printing error in the original paper

Source printed “all real solution” (singular).

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