JEE Main 2022 · 28 Jul · Shift 1 · Mathematics Q30

MathematicsInteger+4 / -1Question 30 of 90

The sum of all real values of $x$ for which $\dfrac{3x^2-9x+17}{x^2+3x+10}=\dfrac{5x^2-7x+19}{3x^2+5x+12}$ is equal to ______.

Your answer

Answer and worked solution

Official answer: 6

Cross-multiply. $4x^4-20x^3-6x^2-10x+14=0$ , which factors as $2(x^2+x+1)(2x^2-12x+7)$ .

Real roots come from $2x^2-12x+7=0$ , with sum 6.

Answer: 6

JEE Main 2022 · 28 Jul · Shift 1, Mathematics question 30