The sum of all real values of x for which (3 x²-9 x+17)/(x²+3 x+10)=(5 x²-7 x+19)/(3 x²+5 x+12) is equal to _ _ _ _ _.

Complex Numbers and Quadratic Equations: JEE Main 2022 Mathematics question

JEE Main 2022 · 28 Jul, Morning shift · Q48

JEE Main 202228 Jul, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

The sum of all real values of

x

for which

\frac{3 x^{2}-9 x+17}{x^{2}+3 x+10}=\frac{5 x^{2}-7 x+19}{3 x^{2}+5 x+12}

is equal to __________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 · 28 Jul, Morning shift · Q48

JEE Main 202228 Jul, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

The sum of all real values of

x

for which

\frac{3 x^{2}-9 x+17}{x^{2}+3 x+10}=\frac{5 x^{2}-7 x+19}{3 x^{2}+5 x+12}

is equal to __________.

Your answerType your answer. Integers and decimals are accepted.