0

Guest

Courses New

Find all n ? N, such that the equation (x-8/n-10)=(n/x) has no solution x.

Find all n ? N, such that the equation
(x-8/n-10)=(n/x)
has no solution x.

Grade:12

2 Answers

Rinkoo Gupta
askIITians Faculty 80 Points
9 years ago
(x-8)/(n-10)=n/x
=>x(x-8)=n(n-10)
=>x^2-8x-n(n-10)=0
For Eq has no solution in x, B^2-4AC<0
=>64+4(1)(n)(n-10)<0
=>16+n(n-10)<0
=>n^2-10n+16<0
=>(n-8)(n-2)<0
=> 2 <n<8
So n=3,4,5,6,7

Thanks & Regards
Rinkoo Gupta
AskIITians Faculty
kaushik bhargav
20 Points
8 years ago
(x-8)/(n-10)=n/x
=>x(x-8)=n(n-10)
=>x^2-8x-n(n-10)=0
For Eq has no solution in x, B^2-4AC
=>64+4(1)(n)(n-10)
=>16+n(n-10)
=>n^2-10n+16
=>(n-8)(n-2)
=> 2
So n=3,4,5,6,7

Think You Can Provide A Better Answer ?

Other Related Questions on 6 grade maths

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More