Join WhatsApp Icon JEE WhatsApp Group
Question 12

The number of real values of $$x$$ satisfying the equation $$\frac{3x^2 - 21x}{x^2 - 7x} = x - 4$$ is

Solution

Share

For $$x \neq 0$$ and $$x \neq 7$$ the left side simplifies as $$\frac{3x(x - 7)}{x(x - 7)} = 3$$, so the equation becomes $$3 = x - 4$$, giving $$x = 7$$. But $$x = 7$$ makes the original denominator zero, so it is not admissible. Hence there is no real solution.

Get AI Help

Video Solution

video

Other Cracku’s Useful Resources:

JEE Questions JEE Question Bank JEE Mains Previous Papers JEE Advanced Previous Papers JEE Study Material PDF JEE Mains Mock Test JEE Advanced Mock Test JEE Daily Target

Free JEE Questions

JEE Physics Questions JEE Maths Questions JEE Chemistry Questions
banner

50,000+ JEE Students Trusted Our Score Calculator

Predict your JEE Main percentile, rank & performance in seconds

Check Your Score Now
Ask AI